Osmokrović, then Nataša Leto, played with her national team in the 2000 Summer Olympics, helping them to reach the quarterfinals rounds and finishing in seventh place. She signed a two-year contract with the Turkish team Fenerbahçe Acibadem in 2009. She were also named Most Valuable Player, Best Scorer, Best Spiker and Best Receiver.
Individuals.
2005 Italian Super Cup - Champion, with Sant"Orsola Asystel Novara 2006 Top Teams Cup - Champion, with Sant"Orsola Asystel Novara 2007 Italian Cup - Champion, with Asystel Novara 2009 CEV Cup - Champion, with Asystel Novara 2010 Women"s CEV Champions League - Runner-Up, with Fenerbahçe Acıbadem 2009-2010 Turkish Championship - Champion, with Fenerbahçe Acıbadem 2009-2010 Turkish Cup - Champion, with Fenerbahçe Acıbadem 2010 Turkish Super Cup - Champion, with Fenerbahçe Acıbadem 2010 FIVB World Club Championship - Champion, with Fenerbahçe Acıbadem 2010-2011 CEV Champions League - Bronze medal, with Fenerbahçe Acıbadem 2010-2011 Aroma Women"s Volleyball League - Champion, with Fenerbahçe Acıbadem 2011 FIVB Women"s Club World Championship - Champion, with Rabita Baku 2011-2012 Azerbaijan League - Champion, with Rabita Baku 2007-2008 CEV Indesit Champions League Final Four "Best Receiver" 2009-2010 CEV Indesit Champions League Final Four "Best Server" 2011 FIVB Women"s Club World Championship "Most Valuable Player" 2011 FIVB Women"s Club World Championship "Best Scorer" 2011 FIVB Women"s Club World Championship "Best Spiker" 2011 FIVB Women"s Club World Championship "Best Receiver".
