Rangers have had to endure a testing couple of weeks, with the trouble surrounding Joey Barton and a disappointing run of results.
Barton has been banished from Ibrox by Rangers following an alleged spat with Andy Halliday and manager Mark Warburton.
The Baggies would benefit from midfield additions from the free transfer market.
Aston Villa could greatly improve their squad with the signings of four free agents, including a former Liverpool star.
Meireles has been heavily linked with a return to England.
The Portugal international has been linked with a move back to England recently.
The Portuguese international is out of contract this summer.
The Burnley midfielder is said to be in talks over a free transfer switch to Ibrox.
The Portuguese international reportedly has a contract offer from the relegated club.
The Portuguese international is a free transfer in the summer.