The complaint notes Aranda has "previously been trespassed from the Mall" for throwing water in a woman's face, and for destroying property.
Prosecutors will ask his bail be set at $2 million.
The child fell almost 40 feet and suffered head trauma and broken bones.
Without entering a plea, his court appearance was brief.
The mother of Landen stated that he came very close to her and her child as they stood outside the Rainforest Cafe, CBS reported. "Police state Aranda told them that he moved into the mall" looking for a person to kill" and chose the boy randomly. He gave his name and address when prompted by Judge Jeannice Reding and answered "not at all" when the judge asked if he had any questions.
Prosecutors also said in court filings on Monday that Aranda was wanted on a warrant for assault in the state of IL as well as for a conviction for first-degree damage to property in Hennepin County in Minnesota.
Aranda is set to be in court again on May 14.
A lawyer looking for the victim's loved ones, stephen Tillitt, said the youngster remains in serious condition. A GoFundMe to help cover the family's medical costs had raised more than $700,000 as of Tuesday afternoon.
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In a shocking confession, the man admitted he planned to attack an adult before spotting five-year-old Landen near the third-floor balcony.
The Star-Tribune reported that Aranda was previously convicted of first-degree property damage and was also arrested on charges of assault and theft in IL.
"I just hope that little guy turns out okay", Michael Baumann, who witnessed the boy being thrown from the balcony, told local TV station ABC 5.
He was located on a light rail train at the mall, waiting for it to depart, according to the complaint.
According to a criminal complaint, Aranda told investigators after his arrest he was angry over being rejected by women he attempted to talk to at the mall, "and the rejection caused him to lash out and be aggressive".
Emmanuel Deshawn Aranda, charged with attempted homicide of a 5-year-old boy thrown or pushed from a third-floor balcony at Minnesota's Mall of America, is seen in this combination photo from police released pictures in Bloomington, Minnesota, U.S., on April 12, 2019. Aranda had been ordered to undergo a psychological evaluation or treatment for his anger issues.
Paul Sellers, the public defender appointed to represent Aranda, said his client has been in mental health court before.
Aranda's court-appointed attorney said Aranda has been in mental health court before, and said once he gets all the state's evidence he'll work to determine the best outcome.