Brendan Rodgers' side had carved out a 1-0 lead before half-time but found themselves 3-1 down with 20 minutes remaining due to a number of mistakes at the back.
And, after seeing his side fail to complete a comeback despite Luis Suarez's late free-kick, 19-year-old Robinson has insisted the Reds must improve defensively.
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"I think we played really well but we just couldn't get that final goal in the end," he told reporters.
"I think we came out a bit sloppy from the second half but about 15 minutes in we got it going again but couldn't get the goals back.
"[Rodgers] just said he was disappointed with the result and we came out sloppy but just need to improve for the next game.
"[Cutting out mistakes is] something we're working on and we’re doing better and better but today was just disappointing for everyone.
"I don't think [Rodgers' passing philosophy is a problem]. I think there are some errors we need to cut out of our game."
The teenager was joined by the likes of Sebastian Coates and Jordan Henderson in an inexperienced Reds team at Anfield, and he believes the defeat will provide a valuable lesson to these youngsters.
"It was a tough game and we always knew they were going to come here and play well but we're just gutted we didn't get the result," he added.
"[Udinese have] great players and any games we can play against players like that is great for me."
The Warrington-born left-back went on to insist the Merseyside outfit can bounce back when they face Stoke in the Premier League on Sunday.
He continued: "We'll look forward to the game on Sunday and try and keep the way we’re playing but cut out the mistakes.
"It'll be a different game but as long as we play the way we've played we should get a result. It's only early on in the season and we'll be fine in the end I'm sure."