Rather than being overjoyed, he was particularly critical of the team's performance in the second half when they allowed the home side to come back from being 24-11 down to come within two points of taking the lead before man-of-the-moment Tim Visser sealed a 37-25 win with a late try.
Even Visser, whose two tries on his debut lived up to all the hype that had surrounded him in the build up to the game after he completed his three years of Scottish residency to qualify for his adopted country, only got a wry: "He did all right", from the coach.
The player himself was obviously delighted, though, saying: "As soon as the first whistle went, I went to myself: 'Yeah, go! I actually have a cap now, which is brilliant'.
"Being able to score that first try and finish off that second makes it a brilliant day for me.
"There was a lot of good rugby but also a lot of stuff that we said we wouldn't do. We turned the ball over a lot. It showed how dangerous they are ball in hand that every time they got a turnover, we were under pressure.
"That is something we did not want to do, we will take the good points from this but there is still a lot to work on."
Robinson was pleased with the result, but acknowledged that the match, played in searing tropical heat, also showed areas that still need work.
"It is very pleasing to win," he said.
"The last time Scotland came here with a very good side and lost heavily. The good thing is that we did win the game, scored 37 points and Visser's first try was a cracker.
"Greig Laidlaw's as well, from the way that we moved the ball, but we cannot allow sides to come back into the game. If you do that, you will get punished."
While not entirely happy with his own side, Robinson had admiration for the way Fiji had gone about their business.
He was unstinting in his praise for a heroic home effort, demonstrating all the big hits and flair for which the Islands side is famous.
"When you see opposition players play like that, when you see Netani Talei lead the team as well as that, and their nine was exceptional, it means we are delighted to get the result but Fiji should be delighted with the way their team played," he said.
"I have watched a lot of their rugby over the last three weeks and I think that if they can play like this all the way through they are going to be a dangerous side."
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