Twenty-two people were killed and about two dozen others were wounded in the shooting.
And, according to police, shortly before the attack, Crusius is believed to have posted a racist message online.
Mexico's Foreign Secretary, Marcelo Ebrard, has raised the possibility of seeking Crusius' extradition to face charges south of the border.
El Paso police wrote in Crusius' arrest warrant that he used an AK-47 rifle in the Walmart attack.
Sgt. Jon Felty, Allen police spokesman, said there was no record of such a call and he wasn't aware of such a call.
The first was in relation to a false burglar alarm at the family home, the second one occurred when Crusius was a passenger in a bus involved in a minor traffic accident.
Crusius was 20 at the time the call was made.
It is reported that the mother of Patrick even called the police to tell them about the plan of her son to buy a rifle from a retail establishment or an online shop. Under Texas law, 18 is the minimum age for buying a firearm from a licensed dealer, but 21 is the minimum age for handgun purchases.
But some gun rights advocates say allowing law enforcement to take firearms would go against the U.S. constitution, which protects the right to bear arms.
Senior US officials are scheduled to travel to Mexico City on August 13 to discuss the events in El Paso and other issues, Ebrard said.
O'Rourke said the family that invited him to the funeral asked that he not identify the victim.
"As a part of the greater El Paso area, we feel very connected to this close-knit community", said Ethan Linder, director of marketing for Sunland Park Racetrack & Casino. Many Americans blame President Donald Trump for fueling hostility toward immigrants and minorities with his rhetoric. Trump and the White House have forcefully disputed the idea that he bears some responsibility for the nation's divisions.
The shootings in Texas and OH were the 21st and 22nd mass killings of 2019 in the USA, according to the AP/USA Today/Northeastern University mass murder database that tracks homicides where four or more people killed - not including the offender.
"Let's see what we can do to stop this racism because it's not fair", Leopoldo Mendoza said.