SISAKET, Thailand/PHNOM PENH July 27 (Reuters) - Thailand and Cambodia have agreed to Malaysia acting as a mediator in their border conflict, the Malaysian Foreign Minister said on Sunday, as the combatants each said the other had launched further artillery attacks across contested areas.

"I made it clear to [Trump] that Cambodia agreed with the proposal for an immediate and unconditional ceasefire between the two armed forces," Cambodian PM Hun Manet said after the phone call, adding that Trump's mediation "will truly help protect the lives of many soldiers and civilians".

Thailand and Cambodia traded accusations Saturday of fresh attacks as deadly border clashes entered a third day, leaving at least 33 people dead and more than 168,000 displaced, as international pressure mounted on both sides to reach a ceasefire.