Internationally she has competed in the 400 m hurdles. She did not make it past the first round at the 1999 and 2003 World Championships. At the 2004 Summer Olympics in Athens she was fourth in her heat with a result of 56.21 seconds.
In 2008 Zunda tried to reach the Olympic entry standard both in 400 m and 400 m hurdles. Shortly before the deadline - on 23 July, Ieva finally reached the entry standard in 400 m hurdles (56.50), as she clocked 56.34 seconds. She finished fifth in her heat, again missing out on a place in the second round.
|400 metres||52.32 s||Valmiera, Latvia||July 2004|
|400 metres hurdles||55.59 s||Bielsko-Biała, Poland||June 2004|
|800 metres||2:02.8 min||Valmiera, Latvia||June 2003|
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