Hours before the opening ceremony at Fisht Stadium, the Ukrainian team announced it would compete in the 2014 Winter Paralympics in Sochi.
But, speaking with reporters on Friday, the president of the embattled country's Paralympic committee left open the possibility that his athletes might withdraw if the military conflict with Russia escalates back home.
The head of the International Paralympic Committee had been working to keep the team from leaving.
"The talking point of Sochi 2014 needs to be great sport and great athletes," Philip Craven of the IPC said. "We want all the athletes who have trained for years to reach these Games to fully focus on events on the field as opposed to off."
Russia's actions in Crimea had led to talk of a boycott. During the Winter Olympics last month a Ukrainian skier abruptly withdrew when violence broke out in her country.