Alvarez, acquired from the Tigers in exchange for infielder Andrew Romine during Spring Training, recorded just two outs with the Angels since being recalled on Sunday and had an 8.38 ERA in his first two starts in Triple-A.
Wall, 27, was claimed off waivers from the Marlins in October, posted a 12.08 ERA in 12 2/3 innings with the Dodgers the last two seasons and started this season with a 2.16 ERA in six appearances for the Salt Lake Bees.
"Josh is throwing the ball well," Scioscia said. "It's a nice power right-handed arm, and we'll see where he fits in."
Alden Gonzalez is a reporter for MLB.com. Read his blog, Gonzo and "The Show", and follow him on Twitter @Alden_Gonzalez. This story was not subject to the approval of Major League Baseball or its clubs.