Thank you for your suggestion!
This is a solution I already knew.
However it isn’t good for what I want, because the aim is to appear on the home page automatically, or through static blocks or otherwise unknown to me and I’m looking.
The fact of placing the product on promotion ... okay, but it is not visible to the customer as soon as you enter the homepage.
Here the challenge is to create a kind of static block for each of the deals (daily, weekly and monthly) and then the product automatically appear in each, respectively.
What I did like most, was to create a static block, and then call the product through “insert widget” - “link to the product catalog,” but as a result, only shows a link to go to the products .. . and not the product image + link.
So… any suggestions? =)