Appearing on Peston on Sunday on ITV, the Labour Party leader admitted he met former prisoners but denied encounters with actual IRA activists.
Host Robert Peston grilled Mr Corbyn on the claims.
He said: “You explicitly said you’ve not talked with the IRA but your shadow home secretary says that’s not right.”
But Mr Corbyn tried to defend his past and said he had only met politicians from Sinn Fein.
Robert Peston grilled Jeremy Corbyn on whether he had met members of the IRA
But former convicted IRA terrorists. So why is that not talking with the IRA?
“I have not spoken to the IRA. I have in the past, still do, often meet people from Sinn Fein."
However, Peston was not finished and suggested some of these figures were part of the terrorist organisation.
He said: “But former convicted IRA terrorists. So why is that not talking with the IRA?”
The party leader replied he had met former prisoners with his “eyes open” in an attempt to help broker a peace pact.
“I’ve met former prisoners who told me they were not in the IRA,” he said.
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“But I have met former prisoners with my eyes open on it on the basis that there had to be a development of a peace process in Northern Ireland.
“I think we should look at the awful period of the Troubles in Northern Ireland and the attempt to get a military solution to those problems as something that we all learn a lesson from.”
Discussing terror attacks in the West and the threat from ISIS, Peston then put it to the Labour leader that he had considered talking with the terror group.
Things you didn't know about Jeremy Corbyn Thu, March 17, 2016
Random facts you didn't know about Labour leader Jeremy Corbyn.
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Things you didn't know about Labour leader Jeremy Corbyn
“You obviously do believe that negotiation talking is obviously important,” he said.
“After the Paris attacks, you said that we needed a more urgent effort to reach the negotiation settlement to the civil war in Syria and the end to the threat from ISIS, that did sound like you would be prepared to talk to ISIS.”
On the defensive again, Jeremy Corbyn denied wanting to communicate with the organisation.
He said: “No, I’ve never said I’d talk to ISIS. That’s an implication you have chosen to draw from it. It was not the implication at all.”
Meanwhile, Ms Abbott was earlier put on the spot by Andrew Marr after she was offered a list of “dangerous” groups that she had refused to vote to ban under UK law.
The shadow home secretary refused to take the list from presenter Andrew Marr as she attempted to defend her decision not to support the outlawing of groups, including those that had killed “a lot of people”.