Martinez, a former top prospect of the Mets, was claimed off waivers by the Astros prior to the 2012 season. He battled for a spot in the Astros' outfield to start the season but began the campaign on the disabled list.
Basford, a 37th-round pick by the Yankees last year, made his first appearance of the season on Monday for Class A Short-Season Staten Island, allowing four hits, including a homer, in two innings.
Quinn Roberts is a reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.