I don't think that trevor is asking for a villa Free (as in not paying for it), I think he is saying will there be any villas free as in available.

Some villa owners may give you a small reduction in price for a late booking but don't expect massive reductions as most of us charge a decent rate to keep our villas in tip top condition. With the cost of taxes, utilities, commission, cleaning we are better off leaving the villas empty than renting them out at loss making prices.

As MTP has said you probably will find a villa but your choices will be restricted.