On UP's Geneva sub, several midday trains in both directions are scheduled to arrive at College Ave. at either precisely the same time, or within 1-2 minutes of each other. They coordinate their movements so as to not arrive there simultaneously, so normally, the engineer on the EB will initially contact the WB somewhere between Winfield and Wheaton. Most of the time, they'll wind up passing each other between College Ave and Wheaton, or if there's a minor delay to one, the other will remain stopped until the delayed train is ready to roll.
An exception to this rule seems to apply just to trains 13 and 26, scheduled to arrive at Wheaton at 7:09 and 7:10, respectively.
Unless one is delayed, they will radio each other's location several minutes in advance, so that the WB gets into the station first, about 30 seconds before the EB pulls in. It's actually pretty effective, because the WB train in station at that time acts as a physical barrier against anyone wishing to cross the tracks, and it especially removes the temptation of doing something stupid (and illegal) to those late-running commuters that may have been thinking of making a last-minute dash for the EB, so instead, they'll just have to wait for the next one.