Thanksgiving and other holidays are a great time to invite them in. Also, you can invite them to home Bible studies. They recommend just befriending them. Picking them up at the airport, taking them shopping, playing tennis, helping them get an apartment, English lessons, on and on. The international student affairs office at the university can let you know about how you can connect with them.
Most international students love families and children.
The idea is that if they receive the Lord, they are networked with others from their country to go back to plant a church in their own country. When first saved, I had a couple that worked with me and I am thankful. We went to China where Tom taught English as a second language. Teaching with God's heart in every subject is a springboard for awakening a heart for the nations in our children. We can read missionary stories to our children and realize that they were real people with real weaknesses and real struggles that God used mightily.