Before adopting Republicans’ budget resolution, senators engaged in an all-night parliamentary marathon that Democrats used to try to force the G.O.P. into politically damaging votes.

The Senate voted to move ahead with legislation funding tens of billions for border security on Friday as Republicans overcame a Democratic-driven voting marathon that stalled its adoption. A budget resolution providing some $340 billion for the border and defense was approved by the Senate after Democrats offered dozens of amendments,

Republican senators pushed a $340 billion budget framework to passage over Democratic objections after a nearly all-night vote