Arsenal manager Arsene Wenger feels loan deals should be treated just like permanent transfers.
Fabricio Coloccini has re-affirmed his commitment to Newcastle amid fresh speculation that he wants to leave.
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.