Following Alamein the brigade had a rest for a few weeks, absorbing replacements after suffering heavy losses, with the division as a whole sustaining some 2,800 casualties, and then, with the rest of the Eighth Army pursuing the retreating Axis forces, seeing light action at El Agheila, followed by Buerat. He continued to command his brigade as it joined the campaign in Tunisia, where he was involved in actions leading up to Operation Pugilist, in particular an attack on outposts of the Mareth Line on the night of 16/17 March, where his brigade suffered heavy losses due to an anti-tank ditch at Wadi Zigzaou, along with his performance up to the capture of Sfax, which won him a bar to his DSO. The Battle of Wadi Akarit followed soon afterwards, but Graham's brigade was held in reserve and unused, although it later spearheaded the Eighth Army's advance to Enfidaville, reaching near there on 23 April. Soon afterwards the division, selected by Montgomery (now a full general) for participation in the Allied invasion of Sicily, was withdrawn from the front lines into reserve.