Bryan penned a three-and-a-half-year contract at Sunderland in January 2017 as he completed his switch from Everton.
The Costa Rica international brought an end to a five year spell at Goodison Park after originally joining them on deadline day in August 2012.
On arrival, Oviedo linked up with previous manager David Moyes for the second time in his career after it was the Scot who signed the full back from Danish club FC Copenhagen.
The 27-year-old famously scored the goal which ended Everton’s 21-year wait for a win at Old Trafford in December 2013.
A versatile left-sided player, Oviedo can operate both in defence and midfield.