On 14 July 2012, Šprem married ATP player Marcos Baghdatis at Trakošćan Castle in Croatia.

Playing on the ITF Circuit, she had a record 29-match winning streak from January to March, which earned her four titles at Grenoble, Southampton, Redbridge and Castellón.

In September 2005, at the WTA event in Kolkata, India, she reached the final after a string of good wins.

In late 2007, Šprem announced a permanent split from Bikic and returned to her old coach Ricardo Sanchez.

In April 2008, she returned to the pro tour, winning in Amelia Island over Ai Sugiyama and top-10 player Daniela Hantuchová, before falling to Lindsay Davenport in the third round.

In 2010, she scored one of her biggest wins in years when she defeated 25th seed Anabel Medina Garrigues at the Australian Open.

She tried playing in April at the tournament in Estoril, Portugal, but was unable to finish her first qualifying match against Heather Watson.