MEXICO CITY—President Andrés Manuel López Obrador is resisting pressure to restart auctions for oil drilling legal rights and permit non-public companies to have a increased function in the oil field, even as his authorities grapples with a stagnant economic climate and weak investment decision.

Senior authorities officers and non-public sector leaders have urged Mexico’s nationalist president to resume the overhaul of the vitality field released by his professional-market predecessor, Enrique Peña Nieto, as crude creation by condition oil enterprise Petróleos Mexicanos fell…