Chill your salami. Before you start, refrigerate the salami for at least 30 minutes. Cold salami holds its shape dramatically better than room-temperature slices. This single step makes everything easier.
Set up your glass. Hold your wine glass upside down or right-side up with the opening facing you. You'll be draping slices over the rim to build the flower.
Create the center. Take one slice of salami and fold it in half, then fold it in half again to create a small cone or bud shape. This is the heart of your flower. Set it inside the top of the glass opening.
Add the first ring of petals. Take 3-4 slices and fold each one in half. Drape each folded slice over the rim of the glass, curved side down, so the folded edge hangs over the inside and the curved edge forms a petal shape on the outside. Space them evenly around the rim.
Build the second ring. Take 4-5 more slices, fold them in half, and position them between the petals of the first ring, slightly lower and offset. Each new petal should peek out between the previous ones.
Add a third ring if desired. For a fuller, more dramatic salami flower, add a third ring of 5-6 folded slices, again offset from the second ring and positioned slightly lower.
Compress the base. Gently but firmly press all the bases of the petals together at the bottom of the glass opening. This is what holds the whole flower together. Press for about 10 seconds.
Transfer to the board. Carefully slide two fingers under the base of the flower, keeping the petals pressed together, and transfer it directly to your serving board or a piece of parchment paper. Set it base-down so the petals bloom upward.
Adjust the petals. Use your fingertip to gently open and fan any petals that look too tight. A little adjustment goes a long way. The flower should look full and slightly open, like a blooming rose.
Repeat for all flowers. Continue making flowers until you have as many as you need. Refrigerate completed flowers until you're ready to assemble the full board.