WASHINGTON — Fresh off Senate approval of the overhaul of the nation’s financial regulations, the Obama administration quickly moved on Friday to shape the final version of the bill.

In three areas, consumer protection, restricting banks from using their own money to make bets in the market, and dealing with failing institutions that threaten the financial system, administration officials suggested that they were inclined to favor provisions in the Senate version over those of the House bill, which was passed in December.

But the fate of a Senate provision that could require banks to spin off their lucrative derivatives trading desks is in fierce contention. The author of the provision, Senator Blanche Lincoln, Democrat of Arkansas, has so far fended off attempts to water it down, but financial institutions are preparing to lobby against it over the next several weeks. Treasury officials have privately expressed strong reservations about the provision.

Senator Christopher J. Dodd, chairman of the Banking Committee, and Representative Barney Frank, chairman of the Financial Services Committee, who will shepherd the reconciliation process, said after meeting with President Obama at the White House that they were confident that a final bill could be delivered for his signature by Independence Day.