The filibuster is not in the Constitution. It evolved from a procedural quirk in 1806 and became routine only in the 20th century. Cloture (ending debate) requires 60 votes under current Rule XXII. The "two-track" system since the 1970s lets the Senate set a bill aside without actually requiring talking filibusters.
Both parties have eliminated the filibuster for specific categories: nominations to executive-branch and lower-court positions (Reid, 2013), Supreme Court nominations (McConnell, 2017). Budget-reconciliation bills require only 50 votes by statute.
Reforms range from full elimination ("nuclear option" extended to legislation) to "talking-filibuster" requirements, exemptions for specific subjects (voting rights, civil rights), or sliding-scale cloture thresholds that drop over time.