Van Mil, 27, will report to Double-A Akron. The native of Oss, Netherlands, was pitching for Triple-A Salt Lake, where he compiled a 1-0 record and 6.30 ERA in eight games. In 30 appearances for Double-A Arkansas last season, Van Mil went 3-5 with a 2.04 ERA.
Van Mil signed as a non-Drafted free agent with the Twins in 2005. He was traded to the Angels in 2010.
At 6-foot-11, Mets reliever Jon Rauch is the tallest player to ever appear in a Major League game.