The next step is what is known as an "omnibus" bill. From The Hill:
After struggling for months, Democrats say they are close to finalizing their strategy to send 11 of 12 remaining annual appropriations bills in one omnibus package to President Bush’s desk. Their strategy has been complicated by Bush’s threats to veto most of the spending bills because they exceed his request. ...
The White House on Thursday slammed the Democrats’ plans, signaling that it will not accept an omnibus bill $11 billion above Bush’s request.