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Matzek will throw a bullpen session in front of scouts Thursday, Jon Morosi of MLB Network reports.
Matzek allowed 11 earned runs over 10 big-league innings last season before being sidelined for several months with an elbow injury. He began a rehab assignment in late August but never made it back to the majors, finishing with a 5.23 ERA across 10.1 total frames between San Francisco's and Atlanta's Triple-A affiliates. If the 34-year-old lefty can prove during his showcase that he's completely moved past his injury, a contract offer may head his way.