Speaking to reporters here, Gilani said that Pakistan had banned LeT and frozen their bank accounts.
Gilani confirmed that President Barack Obama had raised the issue of action against LeT relaying concerns from Prime Minister Manmohan Singh.
Gilani said, "If we have more effective evidence, certainly they will be brought to justice."
He further said, "We don't want our soil used against any country and neither would we allow somebody else's soil to be used against Pakistan."
"President Obama discussed with me that he really wants ... good relations (between India and Pakistan) and certainly it is in everybody's interests to play a role, whatever they can play, to bring Pakistan and India closer," Gilani said.
When asked whether he would meet Manmohan Singh in Washington on the sidelines of the Nuclear Security Summit, Gilani said, "It is not scheduled at the moment."
Gilani repeated a plea for an India-type civil nuclear deal saying, "We believe that the objectives of nuclear nonproliferation would be better served if the policy of nondiscrimination is adopted across the globe for peaceful uses of nuclear energy."