The Oscar-winning actor Geoffrey Rush has denied acting inappropriately towards Orange is the New Black star Yael Stone during a 2010 theatre production.

On Monday the New York Times published an interview in which Stone alleged Rush engaged in inappropriate behaviour when the two actors were co-stars in a 2010 theatre production of The Diary of a Madman.

Stone alleges that during the production Rush held a mirror above her while she showered, danced naked in front of her and touched her back in an “unwanted” and “very sensual manner”.

In an interview with the ABC’s 7.30 program on Monday evening she also alleged that during the production Rush invited her back to his apartment in a “very physically intimate way”.

“There was no mistaking what that invitation meant,” Stone said to host Leigh Sales.

In a statement issued through his lawyers on Monday, Rush said Stone’s allegations were “incorrect and in some instances have been taken completely out of context”.

“However, clearly Yael has been upset on occasion by the spirited enthusiasm I generally bring to my work,” he said. “I sincerely and deeply regret if I have caused her any distress. This, most certainly, has never been my intention.

“When we performed in The Diary of a Madman eight years ago, I believe we engaged in a journey as artistic comrades. Over the years we have shared correspondence that always contained a mutual respect and admiration.

“As I have said in the past, I abhor any behaviour that might be considered as harassment or intimidation to anyone – whether in the workplace or any other environment.”

In the interviews with the Times and the ABC, Stone made a string of allegations that Rush behaved inappropriately during the play.

According to the Times, the two actors shared a dressing room with adjoining showers during the production and, after one performance, Stone said, Rush held the mirror above her cubicle while she showered.

“I remember I looked up to see there was a small shaving mirror over the top of the partition between the showers and he was using it to look down at my naked body,” Stone said. “I believe that it was meant with a playful intention but the effect was that I felt there was nowhere for me to feel safe and unobserved.”

Stone said she believed she said words to the effect of “Bugger off, Geoffrey”.

“I was walking a very delicate line where I needed to manage these uncomfortable moments but never, never offend him,” she said. “There was no part of my brain considering speaking to anyone in any official capacity. This was a huge star.

“What were they going to do? Fire Geoffrey and keep me?”

The Australian actor – one of the stars of the Netflix series Orange is the New Black – detailed a number of other “weird” incidents involving Rush during the production.

According to the Times, Rush also danced naked in front of her in their dressing room, occasionally sent her erotic text messages and would engage in “strange intimacies in the dressing room” including asking her to remove his costume during the play’s intermission.

Stone said she responded with “an attitude of, ‘Oh, you’re a very naughty boy’.”

“I didn’t want him to think I was no fun, that I was one of those people who couldn’t take a joke,” she said.

Stone also said that during an awards show connected to the play Rush had touched her back “in a very sensual manner” that was “unwanted and sustained”. She told the Times that Rush had written to her and apologised the next day, calling it “uncalled-for but had to”.

In her interview with the ABC, Stone described feeling unable to address her concerns with Rush’s behaviour during the production.

“I think when I reflect upon the professional set-up of this whole situation, there really is no avenue for me [to address it] at that time,” she said.

“I’m not going to be the person, this young totally unknown person that puts the spanner in the works. I’m not going to be that person for a number of reasons. I don’t want to be difficult. I don’t want to be talked about as someone that is difficult to work with. I don’t want to destroy my career.”

Rush is currently embroiled in a high-profile defamation case against the Rupert Murdoch-owned Australian tabloid newspaper the Daily Telegraph over a series of articles published in November and December 2017.

The articles alleged he had behaved inappropriately towards a castmate during a 2015 production of Shakespeare’s King Lear.

One front-page story was headlined “King Leer” and featured a portrait of Rush in character.

During the trial the actor at the centre of accusations against Rush, Eryn Jean Norvill, claimed the actor “deliberately” touched her breast in front of an audience during a 2015 stage production of King Lear, saying she felt “trapped” and “frightened” by the Oscar-winner’s behaviour.

Rush has vehemently denied the accusations.

Stone said she knew Norvill – the two had dinner together on one occasion about two years ago and sometimes talk – but said she was not motivated to speak because of the case.

She revealed that she wrote to Rush once Norvill’s allegations were made public but did not receive a response.

“I reached out to Geoffrey privately and wrote a letter that basically said, ‘I’ve struggled a lot with the relationship that we’ve had’,” she said.

“I saw him as a friend. And a really respected colleague. And we had become close over the years. He’s an incredibly fun, charming man. And we had spent time together. I wrote that I never addressed the uncomfortable parts of our relationship because they were just so hard to deal with. So I put them away in a box, in that too-hard basket, and I just didn’t address it.

“I wrote in the conclusion of that email, that this was written in the spirit of healing and that I hoped we could come together privately and work through it. Unfortunately I didn’t receive any response.”