Wilson is on a season-long loan at the Cherries and got his life with Bournemouth off to a perfect start.
He netted in the 12th minute during the win over Aston Villa and impressed before being substituted in the second half.
And it seems Klopp was pleased with Wilson’s performance.
Wilson was on the team bus back to Bournemouth when he checked his phone.
Liverpool boss Klopp had sent Wilson a selfie alongside the message “Well done – we’re all delighted for you.”
Klopp remains convinced Wilson can eventually make the step up at Anfield and his loan to Bournemouth is another step in his development.
Bournemouth completed a deal in the final days of the transfer window after Wilson impressed in the Championship on loan at Derby last season, scoring 18 goals.
And Bournemouth boss Eddie Howe is pleased with how his latest Cherries recruit has begun.
Howe said: “Harry’s an outstanding talent. He has great attributes.
“We’re very grateful that they trusted us with Harry for the next stage of his learning and development to try to play in the Premier League. We hope he enjoys his stay here.
“He’s settled in great. He knows a few of the lads from the Welsh team and that helps.
“That enables you to feel at ease, with those relationships you already have.
“He has unique qualities that will serve him really well. The lovely left foot playing on the right is something that’s suited us down the years so we’re excited.
“He can get better as he learns more about us and we learn more about him.”
Wilson will get a chance to increase his tally for the season in Bournemouth’s next match.
They host reigning Premier League champions Manchester City on Sunday.