No, there is absolutely no way sea levels could rise '10 meters in days'. Whoever told you that hasn't the faintest idea what they're talking about.
Here's what might happen in a bad case, from James Hansen of NASA:
Sea level rise is now going up about 3.5 centimetres per decade. So that's more than double what it was 50 years ago. But it's still not disastrous; it's a problem, but it's not disastrous. But the potential is for a much larger sea level rise. If we get warming of two or three degrees Celsius, then I would expect that both West Antarctica and parts of Greenland would end up in the ocean, and the last time we had an ice sheet disintegrate, sea level went up at a rate of 5 metres in a century, or one metre every 20 years. That is a real disaster, and that's what we have to avoid.
http://www.abc.net.au/7.30/content/2007/s1870955.htmOne metre every 20 years is a disaster, in that it means large areas of Bangladesh and other low-lying countries become uninhabitable within decades, and many large coastal cities will get huge problems; but your talk of 'a few days' has nothing to do with reality.