"The efforts are still ongoing and channels of communication remain open... the goals and visits and meetings are ongoing," ministry spokesman Majed al-Ansari told reporters.
Months of behind-the-scenes negotiations mediated by Qatar, Egypt and the United States have failed to halt the fighting between Hamas and Israel, apart from a one-week truce beginning in late November.
Recent mediation in Doha and Cairo has been based on a framework laid out in May by US President Joe Biden and a "bridging proposal" presented to the warring parties in August.
The US State Department said Monday Secretary of State Antony Blinken would visit Egypt this week to "discuss ongoing efforts to reach a ceasefire", his tenth trip to the region since the Gaza Strip war began on October 7.
After in-person talks last month in Egypt and Qatar broke up without a final agreement, Washington indicated that mediators were preparing to present another adapted framework for a ceasefire.
US State Department spokesman Matthew Miller said Monday Washington was working "expeditiously" on a new proposal.
Ansari declined to comment Tuesday on whether any further proposal had been relayed to Israel or Hamas.
"When it comes to the possibility of a deal taking place anytime soon, of course we remain hopeful at every juncture," he said.
"I can't comment on the prospects of a deal taking place right now but I can tell you that we remain hopeful and we continue with our efforts."
Hamas said its delegation met Qatari and Egyptian mediators in Doha last week to discuss a truce and potential hostage and prisoner exchange, again without indicating that any breakthrough had been reached.
Pressure inside Israel for a deal has intensified after authorities announced the deaths of six hostages at the start of September after their bodies were recovered from a Gaza tunnel.
But in the face of the external calls for an agreement, both Israel and Hamas have publicly signalled deeper entrenchment in their negotiating positions.
On Tuesday Israel announced an expansion of its war aims, widening its fight against Hamas in Gaza to focus on Hezbollah along its northern border with Lebanon.