Hi,
I am an Indian citizen, currently in US on work visa (H1B). I want to go to France, Switzerland and Italy for about 10 days total. I know I have to get a separate Swiss visa. I also know that France and Italy are covered under one Schengen visa.

As per the France consultate website, I should apply for visa for the country where I will be staying for more number of days (which is France in my case). Say, if I get the visa for France but on reaching there I decide to spend more time in Venice (Italy) and the number of days I actually spend in France are less than that in Italy, will that be a problem? I am asking this because in that case I should have got the visa from Italian consulate.

Do you think that will be a problem and do the immigration authorities in Europe check visa when you go from one country to another by Train. I will be travelling from France to Switzerland to Italy by train. My flight is from USA to France and then from Italy back to USA.

Thanks!