Sgt. Jon Felty, Allen police spokesman, said there was no record of such a call and he wasn't aware of it.
Crusius has been charged with capital murder in state court, and may face federal hate-crime charges that could also come with a death sentence if he's convicted. Mark Stevens, Crosius' court-appointed attorney, said he "will use every legal tool available to me to prevent" Crusius from being put to death.
Stevens, a veteran criminal defense attorney from San Antonio, said he will only represent Crusius in state court and declined to comment further on the case. A judge appointed him Monday.
Ohio Gov. Mike Dewine, a Republican, bucked his party Tuesday in response to the Dayton attack and called for expanded gun laws that include background checks for nearly all gun sales and allowing courts to restrict firearms access for people perceived as threats.
But Abbott did not give specifics about what changes he'll push for following Texas' latest mass shooting. He said firearms must be kept away from "deranged killers" but added that "constitutional rights are not going to be violated."