The U.S. House of Representatives are still weighing its options for the Senate-approved "fiscal cliff" agreement, U.S. local media reported Tuesday evening.

The plan, which was overwhelmingly endorsed by the Democrat-led Senate in the early hours of the new year, is likely to be challenged by the grumbling House Republicans.

A senior House leader aide was quoted as saying that House Republican leaders may try to amend the Senate bill by seeking more spending cuts, or bring it up for a vote.

The House convened on Tuesday noon, and the rank-and-file members reviewed the plan brokered between the White House and the Senate.

House Majority Leader Eric Cantor said earlier in the day that he did not support the bill.

Brendan Buck, spokesman for House speaker John Boehner, said the "the lack of spending cuts in the Senate bill was a universal concern amongst members in today's meeting."

The reluctance of the House GOP to accept the bill as written would bring new uncertainty after the nation had already missed the Dec. 31 deadline to avoid the "fiscal cliff," a combination of tax hikes and spending cuts which would rekindle a recession.