Golf Ball and Snowball have shown a major conflict throughout BFDI. Snowball hates Golf Ball due to her insulting him and his intelligence.
Episodes suggesting a conflict
In "Take the Plunge: Part 2", Snowball calls Golf Ball's plan "too confusing". Golf Ball then tells Snowball that his brain is small, enraging Snowball, causing him to push Golf Ball off a cliff and into the water.
In "Bridge Crossing", Snowball remembers what happened in "Take the Plunge: Part 2" while talking to Coiny. He says he's "got some business to take care of" and throws Rocky at Golf Ball. He starts chasing Golf Ball, eventually catching her and throwing her off the bridge.
In "Power of Three", when Golf Ball is chosen to be on his team, Snowball screams "NO!" for quite some time. Snowball and Golf Ball continue to bicker throughout the episode.
In "Puzzling Mysteries", when Golf Ball says she's spinning seven basketballs, Snowball asks her "You think anyone cares?" Later, you can see Snowball chasing Golf Ball when everyone is screaming in the room. When the puzzle was about to be finished, Snowball steals Golf Ball's jigsaw so he could finish the puzzle instead of her.
In "Cycle of Life", when Golf Ball is randomly selected to run for their team, Snowball is shocked.
In "Lofty", Snowball chose Rocky over Golf Ball, because she said his brain is small.
In "Welcome Back", Golf Ball is visibly horrified when Coiny suggested to bring Snowball back and scolds him, shouting he should stay in the TLC/LOL forever.
In "Getting Teardrop to Talk", when 8-Ball suggests that Tennis Ball, Snowball, and Golf Ball should join his team since they're balls too, Snowball refuses due to Golf Ball and the rest of the team being weak and armless.
In "Don't Dig Straight Down", when Ruby says that "bossy bot" Golf Ball is right above them, Snowball becomes very uneasy and nervous, asking if "bozo brain" Golf Ball is actually there. He and the rest of the team actively avoid digging in her direction every time Golf Ball got in the way. Although Golf Ball may not have known which team was underground, she actively prevents Snowball's team from reaching the surface so that they would be up for elimination.
In "You Know Those Buttons Don't Do Anything, Right?", Golf Ball makes fun of Basketball when Snowball is the only one left who can join her team, implying that being teammates with Snowball is a bad thing.