Typically it does require bipartisan consent as the house and the senate are often not controlled by the same party.

The thing to note with the filibuster is that it's only in the senate because the house got rid of theirs a long time ago.

Sure, there are sessions where negotiation must happen between House and Senate. I personally think we should abolish the filibuster - it's undemocratic in the extreme. Republicans (only!) still have the "Hastert Rule" for the House, which is equally undemocratic, and named after a convicted sex offender.

I'm urging the current Senate, controlled by Republicans, the party also controlling House and Presidency, to get rid of the filibuster because then the ruling party could not escape responsibility for their legislative actions.