The 19-year-old, who signed from the MK Dons, played the game at left-back and seemed to relish the occasion as the Toffees secured a 2-1 win thanks to goals from Leon Osman and Romelu Lukaku.
Stones was a well-placed player to offer some words of guidance because he is still at the start of his Everton career and can empathise with the feelings and experiences that Galloway will be going through.
“I’m not the wisest guy but I did offer him a few words of advice before the game. I told him to go out there and play his game and not to let anyone distract him and be confident, you deserve to play,” said Stones.
“We just told him to go out and play his game, he has the ability to do that and he was very focused before the game.”
The challenge for Galloway will be to build on his performance against the Hammers in the game against Tottenham on the final day of the season.
He’ll take great confidence from playing in a side, which secured a win but Roberto Martinez has to find a way to get more out of him against a very talented Spurs attack.
Fortunately for Galloway, as well as benefiting from the advice of someone like Stones who has been in a similar position, there is also plenty of experience in the side if things don’t fall in favour of the youngster.
He’s got a lot going for him with his pace, skill and drive going forward but he’s going to have to work very hard to overtake Leighton Baines over the next year.