EuroBasket is also known as "European Basketball Championship". 
EuroBasket sounds like it might be a basket full of Euros. If only! ANYWAY, I didn't know that! Who are the current champions?
 he is nicknamed Kill Bill and his name was Vassilis Spanoulis
What team does he play for? I love the nickname though. The whole Kill Bill series are my favorite films of Tarantino's.
he played for  Olympiacos Piraeus
Sounds Greek -- is it? With all the international players playing for the NBA here in the US, I'm sure there are some Greek players here, too.
it reaches an international success, leading Greece to join Russia, Serbia etc..,
I'm not sure I understand, but it makes me curious to learn more. Do you have a team you cheer for?