Two of Australian Open tennis players have tested positive for Covid-19 after arriving in the city of Melbourne, amid growing controversy over the event.

A third case involved a “non-playing participant”, according to the state of Victoria’s chief health officer.

Some 1,200 people, including players, staff and officials, have flown into Australia for the tournament, which begins on 8 February.

But a row over quarantine rules has cast a shadow over the upcoming event.

Some players have expressed frustration about being confined to hotel rooms full-time while other rivals are not.

And some residents in Melbourne – a city which endured one of the world’s longest lockdowns last year – have their own concerns about the potential Covid risk posed by the tournament.

Positive cases on three flights have forced 72 players into full quarantine, meaning they have to isolate full-time in their hotel room for 14 days instead of being allowed outside to train like other participants.

It has angered some players, and led world number one Novak Djokovic to lobby authorities to relax quarantine rules for players – including shorter periods.

The suggestions earned him criticism from Australian player Nick Kyrgios and were rebuffed by Victoria state authorities who want to keep infections at very low levels. State Premier Daniel Andrews said the measures were necessary to protect the public and tennis stars would get “no special treatment”.

Following that, Kyrgios tweeted a news clip of the saga on Monday night and wrote: “Djokovic is a tool.”

The outspoken Australian, ranked 47th in men’s singles, has previously criticised Djokovic over the coronavirus, after the Serb organised an exhibition event last year in which he and others contracted the virus.

“That’s what happens when you disregard all protocols. THIS IS NOT A JOKE,” Kyrgios wrote at the time.