The 24-year-old was the only Englishman named on a 30-man shortlist to win the Ballon d'Or this week, having scored 43 goals in 37 matches this year.
United landed Romelu Lukuku from Everton in the summer and Mourinho believes Kane would be the Belgian's flawless partner.
European champions Real Madrid signed Modric and Bale in 2012 and 2013 and will get a closer look at Kane when Spurs head to the Santiago Bernabeu next week for the first of two Champions League group-stage ties.
Should Mourinho get his wish and have Kane and Lukaku together in Manchester, the Portuguese believes that will turn United back into a dominant force in Europe. Jose is a big fan and is very interested.
Spurs are adamant they will reject ANY approaches for their star players, especially Kane.
A new contract is being lined up for next summer worth £150,000 a week to keep the London-born forward in the capital.
Despite nearly constant speculation linking the Spanish giants with a move for Manchester United stopper David de Gea, Navas has proven himself at the top level by helping his team lift two Champions League titles and the La Liga trophy in the past two seasons alone.
"It's money they can lay their hands on but it will be interesting to see what Levy's stance on the whole thing will be".
Real Madrid have also shown an interest in signing Kane, who has been in sparkling form this season.
Philippe Coutinho or Henrikh Mkhitaryan?
Weekender is the best new fantasy football game around and it's absolutely free to enter.
Sylvester Stallone gave some fatherly advice on 'This Is Us'
It's not one of the jaw-dropping, tear-jerking twists the show is famous for, but it's a sly (pun intended) turn on expectations. It was an incredibly touching moment and great to see the writers still incorporating William despite the fact that he's gone.