Earlier, the armed wing of Hamas said it had been close to reaching an agreement with Israel over the hostages, but Israel had "stalled" on that possibility.
Cardinal Pietro Parolin, the Vatican's Secretary of State, said the Holy See remains firmly convinced that a two-state solution is the only way to guarantee lasting peace in the region.
Both sides routinely accuse the other of breaking a ceasefire agreed in 2020.
Despite years of attempted mediation between them, Armenia and Azerbaijan have yet to reach a peace agreement.
Jordan will host a meeting of Israeli and Palestinian representatives which aims to stop escalation and reengage the two sides.