HollyOntheHill writes ablog on the “Conference Committee” process.    Link HERE.

I have provided the following explanation at her request related to the end of the process  (having been in a few conference committees myself over the years):

Only one thing happens in the conference committee as a result of the “meeting of the minds:” that is the creation of a conference committee REPORT

The conference committee report will contain the determination of the committee (by majority).  One determination is NOT to support the form of the bill as it comes to the committee.  Another determination is to accept the bill as it came to the committee.  However, the form that usually comes out of the Conference Committee is a comprimise, or, “reconstruction” of the point(s) in question

The determination of the committee is then written into the REPORT, and then presented to the Senate and House separately for a vote to CONCUR.  If both the Senate and the House “CONCUR with the conference committee,” the bill passes.  If either house “refuses to CONCUR with the conference committee,” the bill is theoretically “dead” at that point; however, a number of other motions can be made at that point to keep the bill alive

A bill is not completely finished unless, 1) it is signed/lapses into law OR 2) on the last night of the session, at midnight, the “enacting clause” is struck.  Striking the enacting clause of a bill “kills” it

This is generally speaking how the Conference system works.  (There are variations.)