A Palestinian activist group that campaigns for the return of bodies has suggested that the remains of 36 militants would be handed over for reburial.
But the Israeli army is yet to specify the number of bodies or the identities of the dead.
Two more bodies are expected to be handed over on Tuesday. The entire process could take up to two weeks.
While that move was intended as a confidence-building gesture, it was not related to the ongoing peace talks and was a legal matter, according to a senior Israeli official.
In 2012, in an attempt to restart the peace talks, Israel returned the remains of 91 Palestinian militants.