The Sensex is likely to open flat note taking cues from other Asian markets. However, the market sentiment may be boosted from the fact that the FIIs were net buyers in both, in the cash and derivatives segment yesterday.While the FIIs were net buyers to the tune of Rs 1,045 crore in the derivatives segment, the provisional figures suggested that the FIIs bought shares worth Rs 131 crore in the cash segment yesterday.The Sensex is likely to face resistance around 12,985-13,010-13,035. On the downside, the index may find support around 12,820-12,795-12,770.