"Cowardly" terror attacks in Volgograd are unable to undermine confidence that Russia could guarantee security of the upcoming Sochi Winter Olympics, International Olympic Committee (IOC) President Thomas Bach said Monday.

"The entire Olympic Movement joins me in utterly condemning this cowardly act," Bach said in a letter sent to Russian President Vladimir Putin, referring to the twin suicide bombings in the southern city of Volgograd.

Two terror attacks in the city's railway station and a trolleybus claimed at least 32 lives on Sunday and Monday.

Calling the bombings "a despicable attack on innocent people," Bach expressed his confidence that Russia can deliver safe Winter Games despite these deadly bombings.

"Sadly, terrorism is a global disease but it must never be allowed to triumph. The Olympic Games are about bringing people from all backgrounds and beliefs together to overcome our differences in a peaceful way," he said.

Earlier on Monday, Russian Olympic Committee chief Alexander Zhukov said no extra security measures would be adopted following the attacks because "all necessary security measures have been provided."

In mid-December, a 10,000-man group of interior troops has started to implement its duties of guarding the Olympic village and other venues in Sochi, as well as to maintain public order.

The 22nd Winter Olympics are slated for Feb. 7-23, 2014.