I haven't heard any transfer news other than De Jong, actually they are moving quite slowly. Currently, many teams have taken action to make transfers, but Manchester does not seem to be working on this situation.
They wanted to get Darwin Nunez but they couldn't get him either and Liverpool did. Let's see what kind of names they are interested in in the coming days

La Liga and Premier League are different and will De Jong want to take risk to join Premier League? I know he is smart enough to smell the risk when he looks at his ex-teammate, Donny Van de Beek have been struggling in Manchester United through three coaches, Solskjaer, Carrick and Ragnick. No good position, no future for Donny in Old Trafford. I guess the same scenario can happen with De Jong in Old Trafford if he plays here.
Darwin Nunez will be a player reserved for striker position and he is not a midfielder like De Jong so we can not compare De Jong and Nunez. In my opinion, Nunez will prefer to choose Liverpool because he can win titles with them rather than facing unknown future with Manchester United.
Why De Jong want to take the risk and willing to play in premier league because of Man Utd new manager that Erick Ten Hag personally want him because they have been cooperated while in Ajax so for long term plan with Manchester United he will be suitable for Ten Hag strategy and last time i heard Barcelona rejected 60 millions euro bid for him and they want the price of this player worth at least 80 millions euro but don't too worried because in the near future Man Utd will raised their bid because they want De Jong became an their player this summer