A MEMS pressure sensor includes a monolithic body of semiconductor material having a first face and a second face and housing a first buried cavity and a second buried cavity, arranged under the first buried cavity and projecting laterally therefrom. A first sensitive region is formed between the first buried cavity and the first face at a first depth, and a second sensitive region is formed between the second buried cavity and the first face at a second depth greater than the first depth. The monolithic body also houses a first piezoresistive sensing element and a second piezoresistive sensing element, integrated in the first and second sensitive regions, respectively.
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