Soul Conduit

• WWizards of the Coast2011-06-01
  Official Ruling
  If a player can’t gain life, that player can’t exchange life totals with a player with a higher life total. If a player can’t lose life, that player can’t exchange life totals with a player with a lower life total. In either of these cases, neither player’s life total will change.
• WWizards of the Coast2011-06-01
  Official Ruling
  When the life totals are exchanged, each player gains or loses the amount of life necessary to equal the other player’s previous life total. For example, if Player A has 5 life and Player B has 3 life before the exchange, Player A will lose 2 life and Player B will gain 2 life. Replacement effects may modify these gains and losses, and triggered abilities may trigger on them.
• WWizards of the Coast2011-06-01
  Official Ruling
  In a Two-Headed Giant game, each player is considered to have the same life total as their team. If the two targeted players are on different teams, the teams will end up exchanging life totals. If the two targeted players are teammates, nothing will happen.
• WWizards of the Coast2011-06-01
  Official Ruling
  If one of the targeted players is an illegal target when the activated ability tries to resolve, the exchange won’t happen. Neither player’s life total will change.

Rulings via Scryfall