Odd starting problem

I own a Fabia first registered 2006. It is a five door hatchback with engine size of 1198cc petrol.

It seems to have a strange starting problem. When I first got the car we had it serviced and a new battery fitted as it needed it. Over the winter months, even with this new battery, on some occasions when I went to start the car, on the first turn of the key there was nothing turning wirring or otherwise. On the second it fired up normally. I assumed it was because it was cold. However, this is sometimes continuing especially if I have not used the car for more than a day. Once it has got started, it is fine for the rest of the day and probably the day after.