1 to ask sb to return with you to your home 邀请某人和自己一起回到家里: Shall we invite the others back for coffee after the meeting? 会议后我们邀请其他人到家里喝杯咖啡，好不好？

2 to ask sb to come to your home a second time, or after you have been a guest at his/her home 再请某人到家里；回请某人到家里