The midfielder spent a brief period with the Heed following his release from Newcastle United in 2006, scoring once in 22 appearances for the club.
Since then his career has seen him make appearances in the Football League for Barnet before joining Blyth Spartans in 2010.
Deverdics also made appearances in Iceland and the Faroe Islands before returning to the United Kingdom and going on to make over 100 appearances for Dover Athletic, before most recently spending the past two seasons with Wrexham.
“It’s good to be back home,” the 31-year-old told gateshead-fc.com.
“The club are still trying to do everything that they would be doing in the National League and that was a big draw.
“Mike was a big part of it [the move]. I had a really good conversation with him, I liked what he said and his vision going forward and I think he talked me into coming back up.
“I had a frustrating season last season, I can’t deny that, so for me my aim is to get as fit as I can as fast as I can.
“I’ve had a bit-part pre-season so I need to get up to sharpness as quick as I can, and for me it’s just getting back to playing regularly and back to some of what I consider my best.”