Williams has been nominated for the Ballon d'Or, while Simon is up for the Yashin Trophy.
Valverde said, "For them it is a joy and a recognition for what they have done last season, both at club level, with the Cup and fifth place in the league, and with the national team. It is something significant, a reward for them, and also for all of us who are part of Athletic."
On Simon, he continued: "He had a great season in the league, we managed to win the Copa, he managed to be the goalkeeper who conceded the fewest goals and a series of situations have come together that make him worthy of this nomination. We will see if he can achieve it, hopefully."
On Williams, Valverde said: "It's the first time this has happened to an Athletic player. Above all, because of his work in our team and also because of his work in the national team. I hope I have a chance to take him (to the ceremony) and that at the same time we can try to do something similar to last season."