It's rude to invite yourself to someone's house for dinner.
Mark starts working closely with his new co-worker Amy.
Mark wants to become friends with Amy.
Mark asks Amy if she wants to join him at his house for dinner tomorrow.
Mark asks Amy if she will cook him dinner at her house tomorrow.
Mark and Amy have dinner at his house and have a good time.
Mark makes Amy feel uncomfortable, and she spends less time with him.