The Middle East was reeling Sunday from deadly violence with Israel bombing Gaza, Lebanon and Yemen in quick succession in response to attacks from Iran-backed militant groups.

Despite Washington's top diplomat asserting a deal is near the "goal line" to end more than nine months of devastating war between Israel and Hamas, the Israeli military said it intercepted a missile fired from Yemen, as it pressed on with its offensive in the besieged Palestinian territory.

Dozens have been killed since Saturday across the Gaza Strip, the civil defense agency said, including in strikes on homes in the central Nuseirat and Bureij areas and displaced people near southern Khan Yunis.

Residents said a major operation was underway in the Saudi district of Rafah in the south, reporting heavy artillery and clashes.

The deadly strikes in Gaza came hours after Hezbollah and its ally Hamas said they fired at Israeli positions from south Lebanon, while Yemen's Houthi rebels vowed to respond to Israeli warplanes hitting a key port.

The fire left raging by the strikes on rebel-held Hodeida port "is seen across the Middle East and the significance is clear," Israeli Defense Minister Yoav Gallant said.

Detailing the first strikes claimed by Israel in Yemen, Gallant warned of further operations if the Houthis "dare to attack us" after a rebel drone strike killed one person in Tel Aviv on Friday.

In Hodeida three people were killed and 87 wounded, health officials said in a statement carried by Houthi media.