To make room for Murphy, Dilson Herrera was optioned to Triple-A Las Vegas.
Murphy was 1-for-3 as he played five innings at third base Sunday. He only played third during his rehab stint, going 7-for-12 in his last three rehab games.
Wilmer Flores played second and Ruben Tejada shortstop in the Mets regularly scheduled game against the Reds on Sunday afternoon. Murphy will likely play at third when he returns, reports have said.
Murphy went on the DL June 5 with a left quad strain. He was hitting .283 with four homers when he was injured.