Looking for my family in Ukraine

Hello,
I am trying to find out if I still have any family in Ukraine. My grand-father's name is BASILE (or BASIL) ALEXEENKO.
Please let me know if you can help.

Look here:
http://www.geni.com/search?group=everyone&names=%D0%90%D0%BB%D0...

And here (his fathers name is Vasil):
http://www.geni.com/people/%D0%91%D0%BE%D1%80%D0%B8%D1%81-%D0%90%D0...

Thank you :-) Will follow your leads.

Hello!

I just want to confirmed that my grand-father's full name is BASILE ALEXEENKO. He was born in Ukraine and when arriving in Belgium he got married in Liège to MARIE CAROLINE OLIVIER.

I just want to say that there are no such Ukrainian/Russian/Bulgarian etc first names as Basile, Basil, Basili, Bassili, Basilij or Bassilij (in Cyrillic).
exists Vasil:
http://www.geni.com/search?group=everyone&names=%D0%92%D0%B0%D1...
exists Vasili:
http://www.geni.com/search?group=everyone&names=%D0%92%D0%B0%D1...
exists also (rare) Vasile: http://www.geni.com/search?group=everyone&names=%D0%92%D0%B0%D1...
exists also (rare) Vassili: http://www.geni.com/search?group=everyone&names=%D0%92%D0%B0%D1...
Exists Vassilij:
http://www.geni.com/search?group=everyone&names=%D0%92%D0%B0%D1...
Most popular is Vasilij: http://www.geni.com/search?group=everyone&names=%D0%92%D0%B0%D1...

But no with B.