Screech, 30, links back up with the Men of Gwent with immediate effect, following an injury sustained by second row Will Rowlands on international duty with Wales.
Church Village-born Screech made 163 appearances for Dragons between 2013 and 2021.
Screech’s return bolsters the second row options available to Head Coach Dai Flanagan ahead of the upcoming trip to South Africa in the BKT United Rugby Championship and EPCR Challenge Cup.
Flanagan said: “We’re really pleased to welcome Matthew back to the club. He has played over 150 games for Dragons and is excited by the opportunity to represent the club and Gwent rugby once again.
“Matthew has quickly settled back into the environment, is an experienced professional for our younger players to learn from and he is now determined to make a big impact with us.
“We are all hugely disappointed for Will after the shoulder injury he suffered representing Wales and wish him well as he continues his rehabilitation and recovery.”