 The year after Arkinstall played back on Wembley Championships and he again lost against compatriot Ashley Cooper.At the French Pro Championship in 1959 Arkinstall was defeated in the fourth round and repeated that at the tournament in 1960.In 1960 Arkinstall played at the Wembley Pro and again lost in the first round, this time against the Spaniard Andrés Gimeno, the Spanish number one.