The Sensex may display lacklustre - range-bound type activity today as it gears up for the big earnings annoucement tomorrow.The index has support around 10,590-10,565-10,535 levels. On the upside, the index is likely to face resistance around 10,777-10,805-10,835.Market analyst Shah sees 3170 as a resistance for the Nifty, while the corresponding level for the Sensex is to be around 10,750.His top picks for today are Sterlite and Hindalco.