Question:
Are there any other Scriptures aside from 1 John 2:1 that show how Christ draws us back into fellowship with the Father?

Answer:
The word “Advocate” in 1 John 2:1 and the word “Comforter” found four times in John 14 are exactly the same. Christ in heaven works to restore us from sin so that communion with the Father may be restored. The Holy Spirit on earth, who indwells every redeemed one, does the same work. I cannot think of another verse that refers to Christ in this way.

It might be good to refer to Hebrews 4:16 to show the difference between the work of the Advocate and that of our Great High Priest. In Hebrews He gives us strength so as to stand the test of faith and not commit sin. The work of the Advocate is to bring restoration due to sin being committed. Standing faithfully and not sinning continues enjoyed communion with the Father and God is glorified.