If God is truly a part of our lives, shouldn't we be drawn to restore past relationships that have fallen by the wayside? And if so how far is far enough in chasing them?
Relationships are very important to our lives. They are the connections God uses to take us to our future, and above that God places a high premium on them. He shed his blood for the sake of relationship - restoring us to the Father...so I think that the example has been well established. Sometimes the season in a relationship seems to be over but that is not to say that God doesn't have a plan for it in the future. That is why it is important not to burn bridges. When dealing with a relationship that has fallen by the wayside due to an offence and not just someone that you have lost contact with, we do as believers have a responsibility to restore the relationship and remove those offenses. The bible is pretty clear on that ...we must attempt to bring reconciliation. Romans 12:18 reminds us..."If it be possible, as much as lieth in you, live peaceably with all men."
Now your second question is the real question - how far is far enough in chasing them. I guess a lot depends on how fast they can run...haha! I think the reality that we are having to chase them might be a sign. Sometimes all you we can do is apologize and leave it in God's hands hoping for them to be open to you in the future. I know that it is one of the enemy's most effective plays - to separate the body of Christ. No winners there.