There are a lot of sporting events being held in the Cleveland area this summer and fall, many of them attracting an international field of participants. In chronological order, here are some activities that might be worth a look.
May 22-25 - 2013 MAC Baseball Tournament
Eight teams will compete for the Mid-American Conference Baseball Championship at All-Pro Freight Staduim in Avon, Ohio. http://www.mac-sports.com/Championships/Baseball2013.aspx
May 29 - U. S. Soccer Men's National Team vs. Belgium - 8 pm
This is only the third time that the U.S. team has appeared in Cleveland - it will be a tune-up for the upcoming World Cup qualifying matches. You can see the game at First Energy Stadium - Home of the Cleveland Browns (Cleveland Browns Stadium works better for me!).