Reports in Italy claimed Bayern had made a bid of 10million euros for the Juventus midfielder, who was a key figure in Italy's Euro 2012 campaign, but Rummenigge says the reports are without foundation.
"FC Bayern have neither made an offer to Juventus, nor have FC Bayern had any contact with the player or his agent," he said in a statement published on the Bundesliga club's website.
Bayern have made six new signings already this summer and are not expected to add any further new faces to their squad for next season.
Xherdan Shaqiri is the only new midfielder, joining the likes of Bastian Schweinsteiger, Thomas Muller, Toni Kroos, Arjen Robben and Franck Ribery in the Bavarians' squad.
Borussia Dortmund hears Wembley Calling and are headed to London for the Champions League final.
The Juventus jersey for the 2013/14 was released earlier this week. Be the first to wear the colors of the Old Lady.
The push for more color on their cleats, adidas has added the infrared colorway to the adiZero f50 Line.
The Liverpool 2013/14 soccer jersey is available for pre-order. The Reds are eager to compete for silver next season.
Bayern Munich are kings of Germany and hope to be crowned kings of Europe at Wembley later this month!
adidas has added some color to the Predator line with this new colorway. Released on May 17. Be the first to own a pair.
Chelsea won the Europa League on Wednesday. The Blues defeated Benfica 2-1 on injury time goal from Ivanovic.
The adidas Nitrocharge is the most talked about new cleat in years. It was released on May 15 and will take your pitch by storm.
One of the top soccer cleats for control the Nike CTR360 will not let you down on the field in tight spaces.
Ajax has released their away soccer jersey for the 2013/14 season. Get in the Gear.