Abbas wants a halt to rocket attacks on Israel for a month to allow Palestinians to discuss a truce with Israel, and each other.
"This mutual truce would be observed at first for one month in the Gaza Strip, then afterwards in the West Bank," said Ayman Taha, a Hamas spokesman, after the meeting.
He said his organisation would "study the proposal."
The two Hamas fighters died after Israel's air force destroyed a van in Gaza City, witnesses said.
Earlier air strikes targeted positions used by Hamas and another group, Islamic Jihad.
Israel has carried out dozens of attacks in recent days in retaliation for stepped-up Palestinian rocket fire on southern Israeli towns.
Watch exclusive Al Jazeera footage of Israeli air raid and Nour Odeh's report here
Haniya stayed away from public prayers on Friday, even though Israel denied he was a target of a missile fired at the Shati refugee camp just before midnight on Thursday.
No one was hurt in that attack, which Israel said targeted an unspecified structure used by Hamas.
Ahmed Youssef, Haniya's political adviser, said the bombardment was meant to send "a message of threats" to the prime minister.
He said: "These are all messages and signals that aim to undermine and hamper the movement of the prime minister."
"If Hamas and other terrorist groups did not attack Israel there would not have been any destruction"
Yaweh420, West Coast, US
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Haniya went to inspect the site, but guards pulled him away because Israeli aircraft were still in the sky.
Other targets around that time included a money changer's shop in Gaza City that the Israeli army said had funnelled funds to fighter organisations, and a Hamas post in northern Gaza.
Another airstrike targeted a Hamas training centre south of Gaza City, destroying the compound and lightly injuring at least three.
On Thursday, Israel broadened its tactics by rounding up 33 Hamas political leaders in the West Bank.
The most prominent leader arrested was Nasser Shaer, the education minister, who is considered a pragmatist.
Israel has been holding 40 Palestinian politicians from Hamas rounded up over the past year.