Abalgamash was a king of Marhashi, somewhere on the Iranian plateau. He seems to have led the forces of Elam, Marhashi, Kupin, Zahara, and Meluhha into a coalition against Akkad, invading Khuzestan, which had been occupied by Sargon. This led to a direct conflict with Rimush, Sargon's son and successor, who in turn invaded Elam, and victoriously confronted their armies somewhere between Awan and Susa.