Wales hero Robson-Kanu says international team-mate Bale now has to be considered among the world's best players.
The former Reading forward scored the second of his side's three goals during their historic 3-1 win over Belgium on Friday, which sees them progress to the semi-finals of Euro 2016.
Chris Coleman's side will face Portugal in Lyon on Wednesday, with much of the talk already surrounding the meeting of Real Madrid team-mates Bale and Ronaldo.
And Robson-Kanu believes the former Tottenham winger will have the edge over the talismanic Portuguese star, adding that his ability even surpasses that of Argentina ace Messi.
According to Goal.com, he told reporters: "They are both world-class players. But we have a world-class player who is better.
"Obviously he has been important and it will be a big game for both of them. But we have players who will affect the game throughout and hopefully we’ll get a positive result.
"He’s [Bale} definitely on his way [to becoming the world's best]."
One man that won't be making an appearance in the last four is Arsenal midfielder Aaron Ramsey, who is suspended after picking up his second yellow card of the tournament during his side's impressive victory.
But while admitting that losing one of their star performers will be a blow to his side's chances of reaching the final, Robson-Kanu is in no doubt that his team-mates will be capable stepping up.
He added: "Obviously he’s [Ramsey] a world-class player. You don’t want to lose your world-class players but we have a squad here and that’s the whole point of having a squad at a championships, so I’m sure the players who step in will perform."