On July 24, 2020, Paul released the single "Fresh Outta London", which was released alongside the music video. For the video shoot, he threw a party at his home in Calabasas, California thirteen days before, on July 11, in which he garnered national attention after being called out by Calabasas mayor Alicia Weintraub after videos and pictures of the party surfaced online. On September 10, Paul released another single titled "23", alongside a music video at his house, which only starred his older brother Logan and also featured clips of him and a few of his friends. The title of the song refers to his age at the time, as well as American former basketball player Michael Jordan's jersey number. On October 15, Paul released the single "Dummy", featuring Canadian rapper TVGucci, who is signed to fellow Canadian rapper Drake's record label, OVO Sound. The lyric video was published to Paul's YouTube channel six days later, on October 21.
On February 23, 2020, in Las Vegas, Nevada, Paul was involved in an altercation with English singer Zayn Malik at Westgate, the hotel the two were staying at. They stayed at the hotel since they both separately went to MGM Grand Garden to watch a boxing match, the rematch between American boxer Deontay Wilder and English boxer Tyson Fury, which occurred the day before. Paul and Malik's rooms were right across from each other. Paul's older brother, Logan, went to Paul's hotel room. At the hotel, Paul attempted to talk to Malik, and Malik reportedly responded in a rude tone, which upset Paul. Following the interaction, Paul posted about it on Twitter, writing, "almost had to clap up zane from 1 direction since he is a little guy and basically told me to fuck off for no reason when i was being nice to him.... zane ik you're reading this... stop being angry cause u came home alone to ur big ass hotel room hahaha". In another tweet, Paul wrote, "bro he literally started yelling and freaking the fuck out. 'you wanna test me mate?' lol I feel bad for childhood stars". He then told his brother Logan that he had run into Malik outside, explaining that Malik was not talking in a nice tone and turned him away. Logan then went to Malik's hotel room, and claimed to hear him screaming; Logan was shown away by a lady in Malik's room. Paul was recording Logan's interaction with Malik on camera. Malik's girlfriend, American model Gigi Hadid, replied back to Paul's first tweet, writing, "Lol cause he doesn't care to hang w you and your embarrassing crew of YouTube groupies ..? Home alone with his best friends like a respectful king cause he has me, sweetie. Unbothered by your irrelevant ugly ass. Go to bed ..." Paul later deleted his tweets which criticized Malik and then posted another tweet stating that he tweeted about the incident since he was drunk, acknowledging the fact in a tweet later in the day, writing, "someone needs to take my phone when i'm drunk because I am a fucking idiot". Logan released the video footage on the 161st episode of his podcast, Impaulsive, in which he explained the whole situation.
On May 30, 2020, Paul and a few of his friends came to have dinner at P. F. Chang's outside of Scottsdale Fashion Square in Scottsdale, Arizona, as part of the George Floyd protests, where it escalated quickly and people began looting the mall. Multiple instances of footage show Paul and his friends outside of a P. F. Chang's witnessing the riot and they made their way inside the mall where they documented the incident. People on social media criticized Paul for entering the mall and standing in the middle of the mall witnessing people looting stores. Paul later apologized on social media condemning the violence, and also denied the accusations of looting, instead saying he was filming as a public service for a future video. Paul said, "We filmed everything we saw in an effort to share our experience and bring more attention to the anger felt in every neighborhood we traveled through; we were strictly documenting, not engaging." On June 4, 2020, Paul was charged with criminal trespass and unlawful assembly, both misdemeanor charges, for being in the mall during the riot. On August 5, 2020, Paul's Calabasas mansion was raided by the Federal Bureau of Investigation (FBI). In a statement to the Los Angeles Times the FBI stated, "The FBI is executing a federal search warrant at a residence in Calabasas in connection with an ongoing investigation. The affidavit in support of the search warrant has been sealed by a judge and I am, therefore, prohibited from commenting as to the nature of the investigation." On the same day, the charges were dismissed without prejudice, the Scottsdale Police Department said it was "in the best interest of the community" and would allow a federal criminal investigation to be completed. Paul also explained in a now-deleted video that the raid was "completely related to the looting controversy".
On July 11, 2020, Paul threw a large party at his home in Calabasas, California, despite the COVID-19 pandemic, which was going on at the time. Dozens of people attended without wearing masks and maintaining social distancing. After complaints from neighbors and videos surfacing on social media, Calabasas mayor Alicia Weintraub expressed outrage, saying, "They're having this large party, no social distancing, no masks, it’s just a big huge disregard for everything that everybody is trying to do to get things back to functioning." She continued, saying, "It's really just a party acting like COVID does not exist, it's acting that businesses aren't closed". She later added that the city was looking into "all of our options" regarding penalties for Paul and the attendees of the party.
In July 2020, it was announced he would be venturing into the ring for a second professional bout, facing professional basketball player Nate Robinson as part of the undercard for the Mike Tyson vs. Roy Jones Jr. exhibition match. The event was initially scheduled for September 12 at the Dignity Health Sports Park in Carson, California, however, in August, Tyson revealed the event had been pushed back to November 28 in order to maximize revenue.