Deulofeu played the decisive role in ensuring that Everton secured their passage to the fourth round of the League Cup on Tuesday night by scoring the winning goal against Reading - as the Toffees came from behind to progress.
Barry told the Liverpool Echo that the Spaniard is the type of player that can unlock stubborn defences and ultimately prove to be the difference in tight matches.
He said: "You can tell he’s a couple of years older and that he understands the game more.
“You don’t want to take away what he’s all about and that are his attacking instincts and how direct he is.
“There are not many players around that can change pace like him and put dangerous balls in the area.
“Like everyone who’s not playing he was a bit frustrated but, like in the last round at Barnsley, he showed exactly what he can do.”
Deulofeu certainly made an impact on the Toffees during his first spell on Merseyside. He was tricky, had little fear and is a very technically able footballer that can improve almost any side. Evertonians were delighted when he rejoined the club on a permanent deal over the summer.
Barry also refers to getting the ball to Deulofeu in space, and that he was a little frustrated in the first half against the Royals. It seems that some sides may have identified the threat that he poses, and are reluctant to give him the time and space he craves in which to punish defenders.
If anything, Deulofeu should take it as a compliment that opponents know how talented he is, but getting himself out of tight situations is probably one aspect to his play that he will want to work on.
It does appear that, as the season goes on, he could be more and more influential on the side, but he will want to figure from the start, rather than coming off the bench, if he is to make the desired impact.