Domestics shares ended higher on Tuesday as losses in the previous session were seen as overdone, with the sentiment also improving as Asian markets recovered after some of the anxiety about US President Donald Trump's ability to push his agenda subsided.Sustained foreign fund inflows also boosted the domestic sentiment.The 30-share BSE index Sensex ended higher by 172.37 points or 0.59 per cent at 29,409.52 and the 50-share NSE index Nifty was up 55.6 points or 0.61 per cent at 9,100.80.