The <a href="https://www.thenationalnews.com/tags/transfer-news/">transfer rumour mill</a> is in full swing with daily stories of players coming and going. Each weekday we'll bring you the best transfer gossip and the likelihood of those transfer stories bearing fruit. Karl-Heinz Rummenigge is directly involved in Bayern Munich’s efforts to sign Tottenham Hotspur striker Harry Kane, as reported by Sky Sports Deutschland. <a href="https://www.thenationalnews.com/sport/football/2023/06/27/harry-kane-bayern-munich-submit-70m-bid-for-tottenham-striker/" target="_blank">Kane wants to join Bayern</a>, who are doing all they can to sign him this summer, although there is still uncertainty around Spurs’ stance. If a move doesn’t materialise this summer, Bayern will aim to sign the England captain as a free agent in 2024. <a href="https://www.thenationalnews.com/tags/barcelona/" target="_blank">Barcelona</a> have a fixed agreement with Athletico Paranaense to sign highly regarded forward Vitor Roque, reports journalist Fabrizio Romano. Both clubs are checking the contracts with the current plan being for the 18-year-old to join Barcelona in January 2024. Olympique Lyonnais midfielder Thiago Mendes is set to leave to join Qatari club Al Rayyan, according to Romano. There is a total agreement in place for a permanent deal with medical tests scheduled for Wednesday ahead of the move for the 31-year-old Brazilian. AC Milan are interested in signing Bayer Leverkusen right-back Jeremie Frimpong, reports the <i>Daily Mail</i>, with the Italian giants having received a financial boost after <a href="https://www.thenationalnews.com/sport/football/2023/07/03/newcastle-united-manager-eddie-howe-hails-exceptional-new-signing-sandro-tonali/" target="_blank">Sandro Tonali’s departure to Newcastle United</a>. This would put them in direct competition with rivals Inter Milan, who are keen on the 22-year-old Netherlands international, while Manchester United are also looking at him. Arsenal are ready to make a move for Southampton midfielder Romeo Lavia once they have completed their deal for West Ham United captain Declan Rice, reports <i>The Times</i>. Liverpool, Chelsea and Manchester United are also interested in the 19-year-old Belgium international, who the Saints value at £50 million ($63.5m). An unnamed Saudi Arabian club is showing a serious interest in Liverpool midfielder Thiago Alcantara, according to <i>The Athletic</i>. The 32-year-old Spain international has already turned down one lucrative offer from the <a href="https://www.thenationalnews.com/tags/saudi-pro-league/" target="_blank">Saudi Pro League</a>, while Liverpool are yet to receive an offer with approaches only being made directly to Thiago's camp so far. Real Madrid, Bayern Munich, Paris Saint-Germain, Chelsea, Manchester United, Tottenham Hotspur, Arsenal and Atletico Madrid have all looked at Juventus striker Dusan Vlahovic, reports <i>Calciomercato</i>. However, the 23-year-old Serbia international isn’t a priority for any of those clubs and while Juventus are open to letting him leave, they want €90m ($98m) for any move to happen.