How to get to Nice from Venice?

I%26#39;m am stopping in Nice for 2 days before heading off to Barcelona.

Are there trains that go from Venice to Nice? And from Nice to Barcelona?

Or, should I stop at another city instead of Nice on my way to Barcelona from Venice?

Thanks.

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These trains can be slow, expensive, and unscenic. You can typically take discount flights for a fraction of the time and money: http://www.whichbudget.com/

Expand your concept of a stopover. Besides flying direct, you may be able to work in for instance Sweden or Scotland while still saving time and money. Or if you must use rail, train to Genoa and take easycruise.com to Cannes, then train onward.