Oyston met with Belokon earlier this week and the pair watched the Tangerines enjoy a 1-0 win over Oldham.
The Seasiders chairman has since described the chairman of Belokon Holdings - a financial management company - as the "most credible" candidate to buy the club from him.
Oyston told PA Sport: "He needs to do his due diligence and we need to do the same. I have held quite extensive talks with Valeri Belokon but there is a long way to go.
"As yet he is the most - if not the only - credible option but there are a few other parties who we have yet to sit down with. I am going to Latvia to see their set up and their team are coming here later this month to continue talks."