Kane has been ridiculed on social media for claiming an ambiguous goal against Stoke City, that had been awarded to his team-mate Christian Eriksen.
Purkiss, who presented at the Player of the Year awards ceremony on Sunday evening, said: ''Harry Kane is so prolific that he is able to score without touching the ball.''
The PFA chairman's attempt at poking fun reportedly went down like a lead balloon with Kane, his family and his team-mates.
He has come under pressure to apologise publicly, and has reportedly been told that his future is in jeopardy if he refuses to do so. However, Purkiss is adamant that the issue was resolved privately between the two.
For his part, Purkiss said: ''The facts are I personally spoke to Harry Kane. I explained I was complimenting him on his achievements, how he went on loan before being such a success at Tottenham and my comments were complimentary.''
''I said that he was so good he could score without touching the ball. I know for a fact he touched the ball. He was credited with the goal by an independent panel. I was joking at how ridiculous the coverage was as he is such a talented footballer.
"I contacted Harry to explain my comments and he stated that he had not taken offence to my comments.''
He concluded: ''I have utmost respect for Harry Kane and all our members. I have nothing but admiration for Harry.''