If we compare religious festivals, then Christmas is quite a small festival in India, because many people who are Christians (about 2.3%) compared to people who belong to other religions. Having stated that the population of India is over 1 Billion, so there are over 25 million Christians in India!

And if we look the data than one of the largest Indian Christian Communities in a city is in Mumbai. A lot of the Christians in Mumbai who are Roman Catholics. And in India's  smallest state, Goa which is on the west of India, about 26% of people are Christians. Many of the Christians in Mumbai came from or have roots in Goa. The states of Manipur, Meghalaya, Nagaland, and Mizoram (all on the very east of India) have high populations of Christians as well.

Christians in Goa very much found to celebrate Christmas! Goa has lots of 'western' customs as part of their Christmas as Goa has historical links with Portugal. Many Christians in Goa are Catholics. People like to go carol chanting around their neighbors for about a week before Christmas. Christmas Trees are also very famous as is a 'traditional' rich fruit Christmas Cake! 

In India, Father Christmas or Santa Claus distributes presents to children from a horse and cart. He also considered as a 'Christmas Baba' in Hindi, and 'Baba Christmas' in Urdu 'Christmas Thaathaa' in Tamil and 'Christmas Thatha' in Telugu (both of those mean Christmas old man); and 'Natal Bua' (Christmas Elder Man) in Marathi. In Kerala state, he's known as 'Christmas Papa'.