Firstly, there is no such thing as non-surgical liposuction. Liposuction involves making a small incision in the skin and sucking out fat though a metal straw called a cannula.
Non-surgical fat reduction technologies cause your fat cells to die, they are then reabsorbed by your body. Regardless of the method used, their effectiveness is in the range of 20% reduction.
Some methods require only one treatment, whereas others require a number of treatments. The only minimally invasive fat reduction technique I know of is accusculpt.
This uses a laser to breakdown the fat. Again, your body will get rid of the dead cells. This can also be combined with traditional liposuction.