Abhisit said Sunday that Cambodia should withdraw the request as a good faith initiative for bilateral talks over the border.
There has been strong support by all the leaders to create a unified economic trading block.
The border dispute dominated the agenda of this year’s summit of Southeast Asia nations.
Meeting in Indonesia has not produced an agreement to end the two countries' ongoing border dispute.
On Sunday, the leaders of Thailand and Cambodia held separate news conferences after trading accusations earlier at the ASEAN Summit.
The temple sits in Cambodia, but Thailand claims adjacent land that includes a key access route to the complex.
An ongoing border dispute between Cambodia and Thailand is likely to be the focus of the meeting in Jakarta.
Cambodia has petitioned the court to re-interpret a 1962 decision that gave Preah Vihear temple to Cambodia.
At least 17 people have been killed under artillery shelling, mortar attacks, rocket fire and small arms skirmishes since April 22.
Cambodia says its government wants the court to interpret the 1962 decision that gave Preah Vihear to Cambodia.
The commanders met at the O’smach border checkpoint following the seventh straight day of fighting that has killed at least 14 people.
This week’s fighting has displaced more than 23,000 Cambodians in Oddar Meanchey province.
Each side blamed the other for starting the fighting, which began around 6 am.
The Cluster Munition Coalition said it had investigated sites inside Cambodia where the munitions fell near Preah Vihear temple.
Now, troops from both sides are locked in a border standoff, one that has led to skirmishes and killings since 2008.
Cambodia has said it will not consider a bilateral solution—something Thailand prefers—and has asked for third-party monitoring.
Thai and Cambodian officials have yet to fully agree on an upcoming meeting, which Indonesia wants to host later this month or in April.
Indonesia has agreed to send 30 observers to the border, with half on each side of the border near Preah Vihear temple.
Hun Sen on Thursday criticized Thailand for a slow response to the documentation needed for Asean observers at the border.
The military delegation will include 19 representatives of foreign countries including the US, China and Japan.
A border dispute near Preah Vihear temple, a cultural touchstone for many Cambodians, has elicited support for Cambodian soldiers.
Koichiro Matsuura, a Unesco special envoy for the temple, will travel to Bangkok and Phnom Penh between Feb. 25 and March 1.
The underpinning issue of those clashes—a disputed stretch of land near Preah Vihear temple—remains unresolved.
Thailand and Cambodia agreed Tuesday to accept Indonesian observers and avoid further clashes over a border dispute.
Cambodia is hoping that meetings among Asean ministers in Jakarta will bring about a resolution to the border dispute.
For decades, Cambodians here have been much more isolated from their fellow countrymen than from their Lao neighbors to the north.
Prime Minister Hun Sen said Thursday he wants a ceasefire to be signed at the Asean meeting Tuesday in Jakarta.
Prime Minister Hun Sen has categorized the fighting as “a small war” between the two countries.
The Security Council urged both sides to agree to a permanent ceasefire and encouraged the venue of Asean for mediation.
A spokeswoman for Unesco told VOA Khmer that any visit would have to be done with “full collaboration” from both countries.
Much of the national unity has solidified in recent weeks, following heavy border fighting with Thailand between Feb. 4 and Feb. 7.
The Security Council on Monday encouraged Asean arbitration in the longstanding border feud between Cambodia and Thailand.
As each side blames the other, new skirmish comes shortly after UN Security Council urges ceasefire around disputed border.
The foreign ministers of Asean are scheduled to meet Feb. 22, while Cambodia hopes to move the process forward with Asean and Thailand.
Thai claims to the land near the temple, or even the temple itself, have run afoul of Cambodia’s claims to legal ownership of the land.
The uprisings in Egypt and Tunisia surprised the world, deposing two long-term autocrats and sparking similar unrest across Arab states.
After clashes leading to 10 deaths, foreign ministers of Cambodia, Thailand meet behind closed doors with 15-member council.
Cambodia requests emergency meeting after worst fighting with Thailand in years broke out near a disputed border area.
Egyptian President Hosni Mubarak stepped down after 18 days of anti-government demonstrations, relinquishing 30 years of power.
Many Cambodian villagers took refuge in Siem Reap, while Thais moved to camps several kilometers away from the border.
These two countries plan to present their positions to Security Council next week.
Hor Namhong is scheduled to address the Security Council along with his Thai and Indonesian counterparts on Monday.
On Wednesday, France offered its maps to help resolve border disputes that have simmered over on multiple occasions since July 2008.
A Thai government spokesman said Unesco should seek permission from Thailand before entering the area.
Participants agreed that a better understanding of history could be a way to diffuse tension in the future.
But countries accuse each other of using banned weapons in their battles in past few days near 900-year-old Hindu temple.
CMAC is meanwhile in the process of educating civilians in the area of safety around cluster munitions.
The cross-border fight killed at least five people, including one Cambodian and one Thai civilian.
The seminar follows heavy fighting on the border over the weekend, when Cambodian and Thai troops exchanged fire.
The fighting reportedly damaged part of Preah Vihear temple, a Unesco World Heritage site.
Association of Southeast Asian Nations is trying to negotiate end to clash between two countries' forces.
Hor Namhong said Monday he had briefed diplomats on the request and would travel to New York to report to the Security Council.
The Cambodian government says part of an 11th-century Hindu temple has been damaged by cross-border artillery fire from the Thai army.
Friday's fighting included the firing of multiple rockets from vehicle platforms and from tanks.
Government spokesman Phay Siphan said Thai political strategists have used the border situation to unseat two prime ministers.
Opinions differ about whether current border dispute is likely to lead to military confrontation or is just political posturing.
According to reports, Thai Foreign Minister will bring a message to Cambodia Friday saying Thailand has no intention of war.
The Cambodian government on Wednesday issued a strong rebuke of the Thai “yellow shirt” protest movement.
Cambodian and Thailand may have broken a deadlock in a three-year border dispute.
The pagoda was built by Cambodians in 1998 on land claimed by Cambodia.
Cambodia and Thailand have indefinitely postponed an annual border meeting in the midst of an ongoing row over Preah Vihear temple.
Hun Sen discussed the letters on Monday, saying Cambodia would “fight against a warlike Thai invasion inside Cambodia."
Cambodian officials maintain that the land, west of Preah Vihear temple, does not belong to Thailand.
Preah Vihear temple remains at the center of an ongoing border dispute between Cambodia and Thailand.
Thailand has re-raised objections to the World Heritage status of Preah Vihear temple on the northern border.
A Thai government spokesman told VOA Khmer last week that Bangkok remains committed to a bilateral solution.
Thai officials have been quoted in the media saying the 1962 judgment of the court awarded Preah Vihear temple to Cambodia.
Bangkok continues to insist that a 4.6 kilometer stretch of land near Preah Vihear temple belongs to Thailand.
Cambodia and Thailand have failed on multiple occasions to bilaterally diffuse the border standoff, which began in July 2008 .
Prime Minister Hun Sen directly insulted the prime minister of Thailand as “stupid” and “crazy” on Monday.
Both sides have withdrawn their ambassadors and other diplomats in the dispute.
To date, there are 890 World Heritage sites in 148 countries around the world.
Nearly 500 Thai protesters gathered in front of the Cambodian Embassy in Bangkok Monday to protest the presence of Cambodian troops.
Cambodian and Thailand have had border problems for decades, with sections of the boundary going unmarked.
Cambodian lawmakers, government officials and border representatives ended a roundtable discussion Thursday.
Cambodia will withdraw a proposal to have a border dispute with Thailand put on the Asean agenda at a summit this month.
Prime Minister Hun Sen on Monday said there was no disputed land near Preah Vihear temple, contrary to Thai statements.
The Ministry of Foreign Affairs on Thursday welcomed the approval of border discussions in Thailand’s parliament.
A 2000 border agreement signed between Cambodia and Thailand is not likely to yield results in longstanding disputes.
Cambodian soldiers and armored personnel carriers began a step-by-step withdrawal from border positions near Preah Vihear temple.