What's next after limited leave to remain?

[Faithful]

What happens next?
Hubby has just been granted Limited Leave to remain for 3 yrs.(Discretionary) We initially applied on FLR(M) but was refused instead, they applied discretion due to our circumstance. Reason for refusal is because he's never had a leave to remain. His claim for asylum was refused 10 yrs ago, had EEA dependent application refused 2 yrs ago, but in the meantime I managed to acquire ILR and the kids have their British passports. Does he still need to go to our home country to apply for Leave to enter as spouse or can we apply for ILR once he has completed the 3 yrs of stay? The condition of his visa is Limited leave to remain and valid for 3 years. He can also go and look for work. Thanks everyone that is going to respond.