Their run-ins came just three days after another Australian, Nick Kyrgios, brought attention to Kokkinakis with a comment at the Rogers Cup in Montreal.
Kyrgios muttered to Swiss opponent Stan Wawrinka that Kokkinakis had sexual relations with “your girlfriend”.
He was referring to women’s pro Donna Vecik, who has been linked to Wawrinka and Kokkinakis.
Kyrgios was fined the maximum $10,000 by the ATP and could face further sanctions, including possible suspension.
But Kokkinakis escaped a similar fate for what happened on Saturday, with an ATP spokesperson telling Reuters that no action would be taken.
Video shows Kokkinakis and Harrison exchanging words after the first set.
Later, as they met at the net for the traditional handshake at the end of their close match, which Kokkinakis, 19, won in a third set tiebreak, video shows a further verbal exchange that prompted umpire Mohamed Lahyani to quickly climb down from his chair and enter the court to intervene.
Another official also arrived to help keep a lid on things.
After they separated and returned to their respective chairs to grab their possessions, Harrison said loudly: “These kids, they’ve got to get under control. They're going to get hurt.”
Kokkinakis seems to protest that he has done nothing wrong.
(Reporting by Andrew Both in Cary, North Carolina. Editing by Steve Keating.)
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