In the comics, I think no interaction is shown between Omni-Man and The Immortal after Omni-Man returns to Earth.

So, I hope the show fixes that and they meet or something and a now-redeemed Omni-Man gets on good terms again with The Immortal. I know this may not be in S2 at all but just saying.

Note: haven’t watched episode 2 of the season so please no spoilers on it.