•The centre-back has made 87 appearances for the German club since signing from Dynamo Zagreb in July 2021.
•Last season he scored against City in the first leg of their Champions League last-16 tie, which RB Leipzig lost 8-1 on aggregate.
Image: /BBC
RB Leipzig sports director Max Eberl says "there is no agreement" between the German club and Manchester City over Croatia defender Josko Gvardiol.
The 21-year-old is valued in the region of £86m and if that fee was paid by City it would make him the most expensive defender in football history.
When asked if a deal had been reached, Eberl said: "A lot has been written and the latest information about Josko surprised us all.
"Currently we're still very far apart."
He added: "As you can see, Josko is here - so it's not true.
"He didn't do a medical check - not that we know. And I don't think he did it behind our backs because he's just a full professional.
"There is no agreement, not even remotely an agreement."
The centre-back has made 87 appearances for the German club since signing from Dynamo Zagreb in July 2021.
Last season he scored against City in the first leg of their Champions League last-16 tie, which RB Leipzig lost 8-1 on aggregate.
Meanwhile, Burnley have signed winger Nathan Redmond on a free transfer on a two-year deal, with the option of a third.
The 29-year-old spent last season at Besiktas, scoring five goals and providing five assists in 25 Turkish Super Lig appearances.
Former Southampton and Norwich player Redmond, who has one England cap, left Besiktas at the end of his contract.
"I always had aspirations to play again in the Premier League," Redmond told the club's website.
He added: "Burnley's project matches with my ambitions. The management team feel like they can enhance my game more and see the value I can bring on and off the field. It feels like a perfect match."
Manager Vincent Kompany said Redmond brings "a wealth of experience from playing in the Premier League" and more recently from his time in Turkey "where he has been outstanding".
Kompany added: "He has got a great work ethic, plenty of skill and a willingness to continue learning.
"He also brings his personality and character to this football club, which will benefit the younger players here."
Redmond becomes Burnley's seventh signing following the club's return to the Premier League in May.
England Under-21 goalkeeper James Trafford was signed from champions Manchester City in a deal worth up to £19m, while Switzerland forward Zeki Amdouni from Basel for an undisclosed fee.
Burnley also signed defender Dara O'Shea and goalkeeper Lawrence Vigouroux this summer, while loan moves for Jordan Beyer and Michael Obafemi have been made permanent.