SELECT DATEADD(day, DATEDIFF(day, '20100101', CURRENT_TIMESTAMP), '20100101');

The only thing I don't like about this method is the hard-coded string. I suppose a dynamic expression could replace it but it would start to become a little tedious.

I don't mind having 2 converts in there because mbova407's original example had 2. This method below will return the same result and datatype as mbova407's without the need for the integer addition.

Select Convert(Datetime, CONVERT(varChar(10), getDate(), 101));