2nd seder in Israel

Question

My family and I have been living in Israel for almost a year. One of the things that I will miss the most from our old life in the states is the 2nd seder on Pessach. The first night is always a little awkward and disjointed...and the tunes are sung somewhat tentatively. By the second seder, however, everyone is more relaxed...the discussion is more lively (often we've had a chance to think about points made the night before) and the songs are more familiar. My question is: Can an Israeli family invite a few foreign yeshiva students to their house for a 2nd seder if the only reason for the invitation is so they(the new Israelis) can have and enjoy a second seder. Crazy question, right?