"We find that there's a lot of communication taking place on the social media platform, but that is not being reported to us", said, Naidoo, adding that it is therefore "very hard for us to deny or even confirm that such things have happened".
Stadium Management chief executive, Jacques Grobbelaar, also expressed regret at the reported incidents of violence and crime affecting festival-goers but said that his company had no authority over the safety and security of music revellers who had come to see their favourite local and global artists.
Sunday the stadium was filled by thousands attending the concert.
It said it was "saddened to hear the challenges people had while leaving the venue".
"It was so full of people that we could not see the culprits".More news: Trump Hopes Michael Cohen Will 'Serve a Complete and Full Sentence'
"People were hurt. There was a woman who was bleeding from a cut on her nose after being mugged".
Police spokesperson Brigadier Vish Naidoo, speaking to the public broadcaster SABC from Port Elizabeth, said that police had recorded one incident of mugging after the concert, and that the police will not be seeking CCTV footage from the petrol station as there have been no criminal cases reported except for one.
The organisers of the Global Citizen Festival have insisted that the safety of guests was "always of paramount importance" after scores of people were attacked outside the stadium on Sunday, December 2.
"If anybody says something happened after that. they must have a case number, and then the investigation will start", he said in an interview with eNCA on Monday morning.
The CEO of Stadium Management Jacques Grobbelaar said that their role was restricted to providing certain services and that the ultimate responsibility for safety and security in and around the stadium lay with the SAPS and the Johannesburg Metro Police Department. We do not have a report of any other cases.