The agency found no connection with terror groups, an FBI official told CNN.
He has also led the administration's efforts to curb the growth of terror groups in North Africa and the Middle East.
Officials say it is the first time they have evidence that money from drug sales in the US is funding terror groups abroad.
The same U.S. military forces and programs that help protect Israel from Iranian missiles and Islamist terror groups also protect Arab oil-producing states.
FORBES: What Happens When America No Longer Needs Middle East Oil?
Although a decade of better intelligence and policing has left Indonesia's terror groups severely depleted by deaths, imprisonment and changing sides, smaller networks persist.
Nothing is yet known publicly of the motives or background of Wednesday's alleged attackers, or whether the men are connected to any known terror groups.
But although cybersecurity was a rapidly changing field, his assessment was that terror groups did not currently have the expertise required to disrupt key public services.
BBC: Al-Qaeda lacks expertise for cyberwar, expert tells MPs
An EU diplomat told Reuters the joint declaration would underline the need for close international cooperation, under the aegis of the United Nations, in combating terror groups.
It is equally distressed at the Obama administration's refusal to make ending Pakistan's support for jihadist terror groups attacking India a central component of its strategy for contending with Pakistan and Afghanistan.
Chesimard and Squire were tried and convicted of the murder, and were serving time in 1979 when Chesimard escaped from prison "with help from a coalition of radical, domestic terror groups who took two guards hostage during an armed assault at the facility where she was being lodged, " the FBI statement said.
CNN: Fugitive wanted in killing is 1st woman on FBI terror list
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