Hang on a mo, before she dumped his arse he was prepared to leave you and he trying to sell the
Oh dear what pathetic man, expecting you to come up with text to explain to his family why he was leaving you and now the OW has been confronted with the possibility of being with this man baby full time, she (quite sensibly) has cut him loose.
However, this man baby now needs you his mum to console him, the waterworks and the assertion that this happened because he was prioritising his kids would be laughable, if it wasn't so damn insulting.
I totally understand the pull to 'get past this' as quickly as possible but it doesn't work like that. He's not coming back because he chose you, he's coming back because she dumped him, his priority is making sure his penis has a place to stay.
When Ex hit me the first time, he cried and I consoled him because for me (not him, obviously) comforting the person you love is instinctual. I was and still am, emotionally stronger than him and it took years and years for me to realise that he had emotional expectations of me that he never expected to reciprocate. Worse still, I never expected him to reciprocate but it took him joking about getting me a straw (moving my jaw was painful from him knocking me to the ground), for the hope that he would, to evaporate.
Your H has demonstrated a spectacular sense of self entitlement and I very much doubt it's a recent development. Take your time because if your marriage can be saved, there is a long road ahead and your H will have to do something he maybe isn't capable of doing and that's taking responsibility.
Your H is probably going to be all over you like a rash until you develop amnesia over his appalling behaviour. If the only person in RL is in another country, call them.