I think Jose wants determined players with proven record. Players who have a mentality that hes likes to work with. He has mentioned in a lot of interviews that some players he just can't understand and therefore can't work with. So I guess a lot of the quality he is after is proven winners. He won't want young unproven talent - more players in the mid, late twenties. Also, you who think he will get players from the likes of Spurs or Chelsea think twice. They won't sell Matic, Dier etc. to us anymore.
Griezmann - Obvious. Proven in La Liga, proven on the big scene i both CL and the Euros. Has the speed and is a superb counter attacker.
Lindelöf - A wild card i terms of age, but has proven himself in Liga NOS, CL and won the Under-21 with Sweden. Solid attitude and have a good speed and a relative good right foot. Can play right back as well. Plays in Benfica, which is Mourinhos and Mendes has in their pocket.
Blaise Matuidi - Search for determination on Wikipedia and Matudi shows up. Has Raiola as agent and a contract that expires 2018. Has proven over and over that hes a player who doesn't falter under pressure.
Romelu Lukaku - Not in the top six teams and has Railo as agent. Wants to win trophies and has stated that he will leave this summer. Proven in PL. Mourinho knows the guy and may (or may not) like him, but if he is, then a real possibility.
Of course, all of the above name are mentioned a lot, and all for a good reason when you look at reasons. But the last summer both Mickhi and Bailly flew under the radar and both turned out great. So I guess, and hope, this could happend again this summer