Bring a large pot of salted water to a boil. Cut off one and a half centimeters from the ends of the asparagus and cook them for 4 minutes, drain and refresh under cold water, let them drain well, pat them dry, and place them on a large platter.
Set aside a few basil leaves for garnish and put the rest of the ingredients for the vinaigrette in a tall measuring cup and blend finely with an immersion blender, taste and season if necessary.
Arrange the salmon in rosettes on the asparagus, tear the burrata into pieces and place it next to it. Season the burrata with pepper and salt, finish with the sliced almonds, the basil leaves, and finally the vinaigrette, just before serving.
Tips
You can use roasted almonds if you don't find smoked. You can possibly replace the salmon with raw or boiled ham, or Italian charcuterie. White, small or wild asparagus can certainly be. You don't have to peel green asparagus, white is. How do you put white asparagus? View it here!