Enrolled in the Lviv Institute of Physical Culture in 1990 and graduated in 1994.

Twelve of his students became Grandmasters at an early age; these are: Andrei Volokitin, Yuriy Kryvoruchko, Martyn Kravtsiv, Yaroslav Zherebukh, Yuri Vovk, Andrey Vovk, Mikhailo Oleksienko, Nataliya Buksa, Vita Kryvoruchko, Myroslava Hrabinska and Kateryna Matseyko.

In his book For Friends & Colleagues Volume II: Reflections on My Profession, Mark Dvoretsky described "There is an excellent trainer Vladimir Grabinsky in Lvov, who has brought up a number of leading Ukrainian young players.

I felt from the very start that I was talking to a professional of the highest level."

In book Dynamic Decision Making in Chess Boris Gelfand described "Grabinsky is a world-class trainer who has worked with close to ten players from their early years until 2650 level."