The BSE Sensex continued its record-setting spree for a second day, scaling a new high of 35,476.70 in opening trade today as banking stocks led rally on sustained foreign fund inflows. Also, the broader NSE Nifty zoomed to a new high of 10,887.10. The 30-share index rallied by 394.88 points, or 1.12 per cent, to hit the peak of 35,476.70, breaching its previous intra-day high of 35,118.61 hit yesterday.