Everton boss Ronald Koeman enjoyed a win over former club Southampton thanks to goals from Enner Valencia, Leighton Baines and Romelu Lukaku.
The match had lacked quality and chances until substitute Valencia scored his first goal for the club, driving in a shot from close range after Lukaku's header had been saved.
Valencia was also involved in the second goal as he won a penalty when he was fouled by Maya Yoshida.
Baines stepped up to score calmly from the spot before Lukaku latched on to a Tom Davies pass and smashed a shot into the top corner.