Šlapeka never won a professional ITF tournament in her career, but, on 28 May 2007, reached her best singles ranking of world number 1400.

She holds a win–loss record of 4–1 for Latvia in Fed Cup competition, having represented her country in 2007 and 2008 in Mauritius and Armenia respectively.

Her latter appearances helped the team get promoted to Group II of the 2009 Fed Cup Europe/Africa Zone.

Šlapeka attended Lindsey Wilson College, in Kentucky, United States, where she gained an undergraduate degree.

As of 2013[update], she was studying for a master's degree in business at the Holy Names University in Oakland, California.