The company has faced ongoing conflict with the Mexican Mine Workers' Union and acquired a controlling interest in Southern Peru Copper Corporation in 2004.

[3] Grupo Mexico acquired 54.2% equity interest in Southern Peru Copper Corporation from ASARCO LLC, a mining company operating in the United States.

As of September 2009, ASARCO was the focus of a bidding war begun in May 2008 between its own parent company Grupo México and India-based Sterlite Industries.

Texas Pacífico interchanges cars from Ferromex at the Presidio–Ojinaga International Rail Bridge with two major US Class I railways: BNSF at San Angelo and Union Pacific at Alpine.

Infrastructure is Grupo México's smallest division, involved in engineering, construction, and operation of large projects for the energy production and transportation sectors.

As of 2023[update], the group operates nine oil wells, four fuel terminals, a combined cycle power plant, two wind farms, two toll roads and is working on the construction of the Tren Maya.

Those sites are: On July 9, 2019, 3,000 liters of sulfuric acid spilled into the Sea of Cortés from Grupo México-owned pipes near the city of Guaymas, in northwestern Mexico.

[6] Three people were injured, and videos appeared online documenting the "sad and harrowing" local damage to marine wildlife as a consequence of the spill.

[7] On February 19, 2006, an explosion occurred in a coal mine in San Juan de Sabinas, Coahuila, that is owned by Grupo México.

It was reported that mine workers had gone on strike against Grupo México at least 14 times, "not only for salary increases… but because of its constant refusal to review security and health measures."

[10] According to the IndustriALL Global Union, as of August 2016, "Ten years after the mining homicide at Pasta de Conchos, Mexico, the government has still not conducted a thorough investigation into the real causes of the disaster, brought those responsible to justice, recovered the bodies or compensated the families of the victims.

This has been considered the largest environmental spillage in Mexico's history, polluting 7 municipal districts from Sonora state and affecting by October more than 20,000 people.

[12] Grupo México reported Total CO2e emissions (Direct + Indirect) for the twelve months ending 31 December 2020 at 5,810 Kt (-560 /-8.8% y-o-y).