When Klizan approached, right arm extended, Lokoli dismissively waved him off with the back of a hand, motioning to stay away.
Afterwards, Lokoli said he wasn't being a sore loser but rather that he didn't want to shake because he thought Klizan was faking an injury during the match and was generally "disrespectful."
"I just have (a) problem with his attitude," Lokoli said, "because he wasn't fair. That's it."
Klizan, who will face Murray in the second round, initially opened his news conference by being confrontational with reporters, repeatedly saying he had no comment and adding: "I don't want you to make a big story about nothing."
Eventually, he spoke about a problem with his left calf that he said forced him to pull out of other recent clay-court tournaments and made him consider withdrawing from the French Open.
Later Tuesday, Klizan played in a doubles match that he and Joao Sousa of Portugal lost in straight sets.
Lokoli was angered by what he interpreted as gamesmanship, saying Klizan appeared to be dogging it in moments - such as the 6-0 fourth set - hampered by his leg: "I'm wondering if he's going to retire or no, because now he's not running anymore, you know?" And then, in Lokoli's view, Klizan suddenly would be fine.
"I'm just saying that, you know, there are ways of doing things. If you're injured, for instance, well, you're injured. So what? Call the doctors," Lokoli said.
"This is what really bothered me." He added: "Look at reality. The person just on the other side of the net is doing things that are very, very weird. Strange things."
Klizan explained the fourth set this way: "He played perfect. No mistake. Serving aces. I was playing bad.
At that time, I feel a little bit one pinch in my calf. So I was scared." As video of their awkward exchange after the final point made the rounds on social media, even Murray took note.
"Obviously I saw a few videos of (Klizan's) match today," Murray said after his 6-4, 4-6, 6-2, 6-0 victory over Andrey Kuznetsov. "It was obviously a pretty entertaining match."
- With AP