Current protest leader Suthep Thaugsuban was one of his deputies at the time and oversaw security matters during the 2010 crackdown. Both now face murder charges.
The latest protests have been relatively less violent. Eight people, including two police officers, have been killed and scores wounded in violence between protesters, police and government supporters since the trouble flared up in November.
National Security Council chief Paradorn Pattanathabutr said two protesters were slightly injured overnight when shots were fired by the Siam Discovery mall near the main protest camp. One man was shot in the ankle and a woman was hit by a ricochet.
(Read more: Thai political strife is far from over)
No one was arrested.
Yingluck's meeting on the election date will be held at the air force headquarters in the north of the city. She has been unable to work from her office in Government House since late November because of the protests.
Suthep's supporters have blockaded at least seven big intersections in Bangkok and are also trying to stop ministries from functioning, forcing many to remain closed, with civil servants working from back-up facilities or from home.
Protest leaders say demonstrators will occupy the city's main arteries until an unelected "people's council" replaces Yingluck's administration, which they accuse of corruption and nepotism.
(Read more: Violent protests expose cracks in Thai economy)
Yingluck's Puea Thai Party seems certain to win any election held under present arrangements and Suthep's central aim is to alter the electoral rules to make a different outcome possible.