Israel is planning to tighten controls even further over goods allowed into the Gaza Strip, Haaretz, a leading Israeli newspaper, reports.
After a series of Hamas attacks on border crossings, some of the crossings will remain shut on Monday, and may remain so for several days, the paper reported.
On Saturday morning, Israeli forces foiled a Hamas attempt to carry out a combined "hit and grab" attack against the Kerem Shalom crossing in the southern Gaza Strip, aimed at killing and capturing soldiers.
Three Hamas fighters were killed, and 13 Israeli soldiers were wounded.
The Kerem Shalom crossing, which is used to transfer humanitarian cargo into the Gaza Strip, is likely to remain closed on Monday for an evaluation of the security arrangements, Haaretz said.
No decision
There was still no decision by Sunday evening on whether to open the Sufa crossing.
As for the crossing at Nahal Oz, where fuel is transferred to Gaza, Palestinian fighters fired at a fuel truck on Thursday.
Quoting sources, Haaretz reported that Dor Alon, the company operating the terminal, had informed the army that it intended to re-evaluate its role in transfering fuel to the Palestinians in light of the dangers to its staff.
Dor Alon refused to confirm the information provided by the security sources.
Two weeks ago, two Israelis were killed in a Palestinian attack at the terminal.
Israeli political sources said on Sunday that "Hamas is harming the civilians of the Gaza Strip".
The same sources said that about 200 lorries carrying food and medicines cross Kerem Shalom every week on their way to Gaza, in an effort to avoid a humanitarian crisis there.