I would extend an invitation to dinner, but leave it up to him as to whether or not he would like to come. You could say something like: "h, my parents are in town from July xxx to xxx, if you would like to have dinner one evening while they are in town, you are more than welcome to do so". This leave it up to him as to whether he wants to attend or not.
Sit quietly, the answers will reveal themselves when you least expect them to. The past is gone, the present is a gift and you need to focus on today, allow the future to reveal itself when it is ready.