Why there is no bitterness risk with Pesto Rosso: in green pesto variations, the added olive oil emulsifies directly into the watery herb environment — at high speed, the oil's polyphenols break open and create bitterness. With tomato pesto it is different: the oil-packed tomatoes bring their own oil and a high dry-matter content. Some of the oil from the jar is carried over when you drain (do not drain completely), and the concentrated tomato mass buffers the emulsion. Additional olive oil can be worked in on speed 1 — the risk of tipping over into a bitter note is much lower. Even so, blending briefly and deliberately remains the best method.
A note on quality: the quality of the sun-dried tomatoes is the deciding factor in the result. Oil-packed tomatoes from the jar (not in brine or water) are the best choice — they are softer, more flavorful, and bring the needed fat base. When draining, add about 1 tbsp of oil from the jar into the blender. The tomatoes do not need to be completely dry.
Adjusting the consistency: for a thicker pesto, blend for a shorter time and on a lower speed. For a finer texture (for example as a pasta sauce), simply stir in 1 to 2 tbsp of pasta water — the starch binds the pesto and makes it smooth.