Complex sentence: At the time of the arrest, Fossella initially told the police that he was on his way to pick up his sick daughter, but the next day he revised his story to claim that he was headed to visit a sick friend.
Split into simpler sentences: At the time of the arrest, Fossella told the police that he was on his way to pick up his sick daughter. But the next day he revised his story to claim that he was headed to visit a sick friend.