Unfortunately I think Lyon's best players will be too expensive for us now. We either have to nab them before they go there or at the very least after a single season of promise and not after they have proven themeslves with a second good season. Unfortunately signing a player on a single season of promise can result in N'Jie's and N'Koudou's.
I think we would be best served by looking at players from clubs, perhaps with with less money, but who like to play a pressing game. Redbull Salzburg have impressed me over the last couple of years in the way that they play and probably have some players worth picking up, Leverkusen are another team that would be worth raiding, perhaps Schalke (even though they haven't had a great time of it in Germany this year and got trounced by Emirates Marketing Project). Otherwise we could do worse than having a look at either/both of Leeds/Norwich should they miss out on promotion. Belgium is another place worth looking as there is a reasonable amount of young talent there and the players seem to adapt pretty well to England.
Looking at our squad compared to the other title contenders I think it is really just at full back and the centre of midfield where we are weak.
Of our fullback and (non attacking) central midfield players there are only two players that i think would get a place in the starting 11 of the top teams and they are Victor Wanyama and Danny Rose, the problem being that both of those need to be fully fit to play at that level and with neither of them seeming to be anywhere near full fitness for nearly two years I think it is probably reasonable to assume that they are unlikely ever to get there again. I feel that the rest of our options in those positions (Davies, Aurier, Trippier, KWP, Dier, Sissoko, Winks) are at that level between first team player and squad team player for a club at the level we want to be - i.e. winning titles.
IMO we need to be purchasing a new first choice right back, new first choice left back and two first choice central midfield players if we really want to have a chance of winning any of the major trophies next season and that's before we factor in the possibility (probability?) of losing two of our first choice players in Alderweireld and Erikksen.
I'd take Max Aaarons and Rico Henry as fullbacks, they would give us back our pace out wide and could easily become a Walker and Rose of 4 years ago type pairing. The club could probably fund the pair of them just by selling Rose or Trippier. Central midfield is harder however. If we could somehow sneak in and nab Tielemans from Monaco ahead of Leicester then that would be great (and might not even be that expensive). Not sure who else we could get though?