What is the Biblical basis that it was was the second person of the Trinity that walked in the garden of Eden? Genesis 3:8 tells us:


  Then the man and his wife heard the sound of the Lord God as he was
  walking in the garden in the cool of the day, and they hid from the
  Lord God among the trees of the garden


And Exodus 33:20 reads


  But,” he said, “you cannot see my face, for no one may see me and
  live.”


What is the Biblical evidence that this theophany was the second person of the trinity?
The Bible explicitly teaches that no on has seen the Father :
Verses from the bible teach clearly that no one has seen the father -

No man has seen God at any time; the only begotten God, who is in the bosom of the Father, He has explained Him (John 1:18).
Now to the King eternal, immortal, invisible, the only God, be
honor and glory forever and ever. Amen (1 Timothy 1:17).*

Other verses are : John 6:46, John 5:37
In addition to this, the bible teaches clearly that Jesus is the one who reveals the father -
For example John 1:18, already quoted. Colossians 1:15 says &quot;The son is the image of the invisible God&quot;. This indicates that wherever God is seen with the naked eye in bodily form such as in the garden of Eden, the one mentioned is the second Person of the trinity, i.e Jesus.