Chelsea's strikers will love playing with Juan Cuadrado if he does join, says Thierry Henry.
Manchester United boss Louis van Gaal has said that Darren Fletcher's proposed move to West Ham is off.
Meyler, 23, has been on loan at the KC Stadium from Sunderland for the past few weeks and signs a three-and-a-half-year deal.
Manchester United's Brady, 20, pens a contract of the same length following a successful loan spell.
The Republic of Ireland international has been in impressive form during his stay on Humberside with the left wing-back, scoring once in 12 games.