From Basic Christianity:
Jesus used this event to teach His disciples; briefly, as the friends of the Roman stood before them, Jesus told His disciples that many shall come from the nations to sit at the table in the kingdom of heaven with Abraham, Isaac, and Jacob. His disciples had seen Jesus begin to walk to a Roman army officer’s house; He had already touched a leper, now He was going to enter the house of a Roman soldier. His disciples watched as Jesus did the unexpected, not restrained by their cultural barriers. But when Jesus turned to them, telling them of this Roman soldier’s great faith, greater than anyone in Israel, they knew they were included in those who had lesser faith. When Jesus said that many will come from east and west to sit at the table with Abraham, Isaac, and Jacob, they knew that the kingdom of heaven was not just a Jewish kingdom. Everything that they had assumed about the kingdom of heaven was shaken; the kingdom of heaven was open to all nations. When He said that the sons of the kingdom would be cast out into outer darkness, they knew that it was not enough just to be Jewish.
Knowing God through His Word ... Day by Day 
Well. Here is one of those instances where 2 of the readings deal with the same subject matter: Salvation is offered to all nations! In Matthew, it is Jesus ministering to a Centurian, and in Acts, it is Peter. Beautiful!
Amen! Every tribe, tongue, people and nation! What a glorious sight it will be in heaven! We had a glimpse of this in Davao City, Mindanao, Philippines in September 2006 as indigenous peoples from all around the globe gathered to praise the name of Jesus and to share what God was doing in and among their people groups. It was truly beautiful to worship with thousands, singing in every imaginable language, but realizing that they were my brothers and sisters in the Lord!