Falcao no, Sanchez unlikely but I think we could have had Balotelli if we wanted him before Liverpool did.
No we couldn't because Balotelli is on ridiculous wages and we'd have had to have done some kind of deal with Milan like we did with City where we effectively get him on a free with Milan supplementing his wages and we pay Balotelli any loyalty bonuses he's owed etc
There's no way we'd have got Balotelli in this way given we wouldn't have been the only club interested in him.
It's wages more than transfer fees that limit the type/quality of signing we can make as a club.
We can break transfer records for fees on the likes of Lamela, Soldado, Darren Bent, Modric etc, because they're low earners.
We couldn't have signed Balotelli.