The war cabinet instructed the negotiating team to continue efforts to reach a hostage release deal on Wednesday night, the Prime Minister's Office said.
The war cabinet met for four hours on Wednesday night.
According to Israeli media, the majority of the cabinet members approved the decision to continue efforts to reach a deal.
Israeli delegation visit Cairo
On Thursday, an Egyptian source to the Qatari-owned Al-Araby Al-Jadeed said that Egyptian officials had begun attempts to renew efforts for negotiations.
In addition, the source stated an Israeli delegation visited Cairo on a weekly basis to discuss with its Egyptian counterparts the security accords between the two countries and the reopening of the Rafah crossing.