Yes, there are some cultural limitations that's why he's feeling shy but he would be alright if you'd personally invite him to a date. And as far as his behavior is concerned about looking you it is his habit nothing else. So don't worry.
Are Indian Men Shy Asking Woman Out Or Looking Them In The Eye? How Do They Feel About Dating Older? There Is A Definite Chemistry Btw Us. He Says We Should Meet Up For Drinks. Is He Interested?