Soman finished seventh in 4 x 400 metres relay at the 2004 Summer Olympics, together with teammates Satti Geetha, K. M. Beenamol and Rajwinder Kaur.

This team, only with Manjeet Kaur running instead of Geetha, had set a national record of 3:26.89 minutes in the heat.

[1] Soman also ran for the Indian team who won a silver medal at the 2006 Commonwealth Games.

She also led Indian women 4 × 400 m relay team to Gold in Asian Athletics Championship held at Amman in July 2007.

In 2008, Chitra again showed her class by leading another win for Indian women 4 × 400 m relay team in 3rd Asian Indoor Championship in Athletics held in Doha in Feb 2008.