The 29-year-old was this week left out of the Springbok squad for Saturday's Tri-Nations opener against Australia despite featuring in their June Test programme, with reports in the UK media suggesting that Leeds is almost certainly the destination for the player who can also do a job on the wing.
But the Sharks and Natal Sharks player himself told Planet Rugby: "I've had offers from UK clubs but nothing is finalised.
"I'd love to go overseas, it would be a great experience, but it's not out of the question that I could stay here [in South Africa]. It's a 50/50 call.
"I know that I won't be the only player receiving offers from European clubs, and my agent is dealing with that side of things, but to say that I'm definitely going to Leeds isn't really correct at this stage."
The Tykes are looking to bolster their midfield following the departure of former Springbok Braam van Straaten to Sale Sharks, and with 35 Test caps to his name after his debut in 1996, Snyman would certainly fit the bill, having recovered from two major ankle injuries.
Leeds have been active in the transfer market during the off-season, building on a campaign last time out which saw them qualify for the Heineken Cup for the first time.
Scotland fly-half Duncan Hodge, Italy openside Aaron Persico and Bristol wings Phil Christophers and David Rees are among the more high-profile names to have arrived at Headingley in recent weeks, as their Welsh coach Phil Davies aims to make further progress.
Only this week, Davies' assistant coach Jon Callard turned down a high-profile offer to be head coach at Irish province Leinster, opting instead to continue his management education in Yorkshire.
By Mark Smith