Nadal was not at his best during the first week of the tournament but he still wrapped up all three wins in straight sets.
The Spaniard is expected to do the same against Vesely this afternoon and they are third on Centre Court.
“For me is great to have all this great experience again, playing so well later in my career, having a great year last year, having a good year this year,” Nadal said.
“Of course, the beginning of the year has been very tough for me with injuries.
“All these problems that I am going through during my career, at the same time makes me enjoy more the good moments that I am having. Just happy for all the things.
“Just can say thanks to all the people that helped me in life, for all these possibilities.”
How to watch Rafael Nadal vs Jiri Vesely on TV
The BBC is once again the prime broadcaster for Wimbledon and they will be showing all the action live.
BBC Two will be the main channel this afternoon as they show uninterrupted coverage from 12noon to 8.30pm.
BBC One will also be live from south London between 11.30pm until 12.15pm.
Coverage will then resume at 1.45pm until 6pm.
Alternative courts will also be available on the BBC Red Button.
How to watch Rafael Nadal vs Jiri Vesely online
The BBC iPlayer will show all the action from Wimbledon on their multi-platform app.
This app is available on both Apple iPhone, iPad and most Android devices and is free to download.
Users can also tune in via Amazon Fire TV, YouView, BT Vision, Sky HD, Sky Q, Samsung TV, NOW TV, Freeview Play and Virgin Media.
Alternatively, Amazon are broadcasting from the All England Club for the first time.
Customers who subscribe to their monthly streaming service can watch every game live.