Lupine seem to be the favored flower grown in Puerto Natales. The seeds were grown for food in the Andes for millenia. Today, they are mainly decorative and one of the rare species of flowers that can withstand the chaotic Patagonian climate.
The 3PM daily talk on Torres del Paine treks at Erratic Rock in Puerto Natales is an invaluable source of information. Make sure to drop by and also check out their excellent rates on equipment rentals.