The Hamas-supporting newspaper Al Risala had reported earlier that a prisoner swap deal for Mr Shalit hinged on the release of just one Palestinian prisoner, whom the newspaper did not name.
Mr Shalit’s parents, Aviva and Noam, have met the main Israeli negotiator Hagai Hadas at Kirya’s military base in Tel Aviv. They are scheduled to meet cabinet ministers in Jerusalem later.
Noam Shalit, speaking to reporters after the meeting with Mr Hadas, said: "We can't say anything at this stage, and there is nothing to add. We would be happy to include you in our joy, if that happens.
He added: “I am still not reassured. I've participated in far more interesting meetings in my life.”