The Colombia international leads the running for the prize awarded to the best goal of the year, but he will have stiff competition from the Brazil sensation and Slovakian winger.
The Colombian has scored a host of goals this season, but he has been nominated for his acrobatic strike for Diego Simeone's side against America de Cali, when he scissor-volleyed off a corner kick to score in a club friendly in May.
Neymar, meanwhile, won the accolade last year and was nominated again for an effort against Internacional in March that saw him evade a string of challenges as he ran the length of the pitch to finish neatly. Finally, Stoch made the cut for an incredible 20-yard volley for the Istanbul outfit against Genclerbirligi eight months ago.
The award, named in honor of the legendary Hungary forward Ferenc Puskas, was established in 2009, and it was first won by Cristiano Ronaldo for his strike for Manchester United against Porto. Hamit Altintop was the next player to land the prize, before Neymar won last year.