Australia is seeking cooperation to fight the "menace" of violent extremism in the region, Justice Minister Michael Keenan says.

The January 14 attack in Jakarta that killed eight people and an August bombing in Bangkok that ripped through a popular shrine killing 20 people, most of them foreign tourists, have injected new urgency for regional counter-terrorism efforts.

"The region is subject to the same threats as the globe is and that is there is a malignant organization that has established itself in the Middle East, ISIL, and they continue to export terror around the globe," Mr Keenan said, using an alternative name for the Islamic State (IS) group.

During a visit to Bangkok with his Thai counterparts to discuss security issues, he said Australia stood ready to share its expertise with regional governments.

"If we can make those relationships stronger then we should seek to do so because this menace is going to be with us for some time and the more we can do to collaborate, to address it, the safer our people will be," he said.

Jakarta's gun and bomb attack was claimed by IS, the radical group's first assault on Indonesia.

Australia has updated its travel warning for Indonesia but has not changed the threat level which remains to "exercise a high degree of caution".

In December, Australia and Indonesia signed an agreement to combat terrorism and renewed a defence cooperation deal.

Jakarta has said it is working to stem the flow of South-East Asian militants travelling to and from Syria and Iraq, but police say the nation's porous border makes it easy for people to be smuggled into Indonesia.

"We don't want to change the open nature of our society. We like the fact that this is a very busy region with people passing through," Mr Keenan said.

"That's why intelligence is very important, sharing information about people who might be of concern," he said.

On Tuesday, Prime Minister Malcolm Turnbull and US President Barack Obama pledged to increase cooperation on counter-terrorism and the fight against Islamic State.

Thai Deputy Prime Minister Prawit Wongsuwan last week said Thailand has not found any evidence of IS activities in the country, following reports that IS sympathisers had crossed the Thai-Malaysia border to meet with southern religious leaders.

Since 2004, insurgents have been battling for greater autonomy in Thailand's three Muslim dominated provinces where fighting between Thai security forces and Malay-Muslim separatists has killed more than 6,000 people.

Reuters