JAKARTA, Indonesia — Indonesia, Malaysia and the Philippines agreed on Thursday to conduct coordinated sea patrols and establish a hotline to combat piracy and kidnappings in waters bordering the three Southeast Asian nations.

A meeting among the countries’ foreign ministers, held in the Indonesian city of Yogyakarta, was prompted by the recent kidnapping of 10 Indonesian sailors in the southwestern Philippines by Abu Sayyaf, a militant organization that has functioned as a kidnap-for-ransom group for more than two decades.

The 10 sailors, abducted in late March, were released on Sunday. Indonesian officials said that no ransom had been paid.

Abu Sayyaf has kidnapped at least 19 people, including foreigners, in the past year and a half. On Monday, the head of one hostage, a Canadian citizen, was found in the southern Philippine town of Jolo.