The 29-year-old has been on trial at Hogwood for two months now, and the club are keen on signing him up to a permanent deal.
As reported by GetReading, ex-boss Nigel Adkins was initially impressed with Travner before Steve Clarke's appointment. It is believed, however, that Clarke is also happy for the trialist to be made permanent with The Royals left-back options consisting solely of Jordan Obita.
The uncapped Slovenian began his career at PrvaLiga side NK Celje, and had spells in the UK with Watford - where he failed to make an appearance- and St. Mirren.
A spell with Ludogrets Razgrad led him to Azerbaijan with FC Baku, but a contract dispute is holding up his move to Berkshire. Nevertheless Reading are hopeful of a compromise that will enable the deal to be completed.
What do you make of this potential deal? Is left-back the one position we need to deal with first? Comment below.