A third-placed finish in Pool B behind England and Argentina meant Scotland failed to reach the quarter-finals for the first time.
But Robinson saw enough to retain his belief he can make Scotland the best team in the northern hemisphere.
"Everybody's down," Scotland hooker Ross Ford said.
"It's gutting to be going home this early in the World Cup competition.
"It will take a little bit of time to get over, but I think everybody in the squad realises how good we could be.
"It will take hard work but if Andy sees enough in the players; the players believe in their own abilities as well.
"It's doable we can become the top team or challenge to become the top team in the northern hemisphere."
Scotland's exit was confirmed by Argentina's win over Georgia.
But late defeats to the Pumas and England, who won 16-12 at Eden Park in Auckland on Saturday, were the undoing of Scotland - lapses of concentration accounting for each of the losses.
Ford added: "It's a mental thing, being in that zone for the full 80 minutes, totally concentrated on the goal in hand and what's happening there and then."
The 30-man squad will return in three groups - the first arriving in the UK today - and must come to terms with being the first Scotland team to fail to reach the last eight.
Ford, though, is focused on learning the lessons from an agonising World Cup.
He added: "There's plenty of time to think about that when you've retired - the records you might want and might not want.
"We just have to, as a squad, as a group of players, focus on the next task in hand, which is going back and performing for your club.
"When the next international period comes up we'll come back together as a group, work hard and make sure we're in contention to win games and competitions.
"We have to learn when we're ahead, knowing how to put away teams and when we're behind, knowing how to get back into it and win games.
"There's no easy way around it - just hard work."
As fate would have it, the next international is the Calcutta Cup clash with England at Murrayfield in the RBS 6 Nations.
"We'll think about that closer to the time," Ford added.
"It's definitely something to look forward to and to keep at the back of your mind when you're out putting the hard work in."
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