Mr Murphy told the court the only physical injury Ms Peris, a sprinter, had was a bruise on her arm which she had told a friend was caused by dropping a weight while training.
He also said there were thousands of text messages between the pair but none showed Ms Peris complaining of violence or Kenny-Dowall threatening her.
"These two people lived more by text message than together," he said.
He said some messages were salacious and talked about "personal things" in the bedroom.
"Let's get this case finished and get him back on the footy field," Mr Murphy said.
The court heard Ms Peris had been in the US for four months and her four-year-old son was in the care of relatives interstate.
The matter was set down for a hearing in March.
- news.com.au