The battle between Johnny Depp and Australia's Deputy Prime Minister has re-ignited, with the Hollywood star saying Barnaby Joyce looks like he was "inbred with a tomato" and the minister declaring he is Depp's "Hannibal Lecter".

Depp, appearing on US talk show Jimmy Kimmel Live, was quizzed about the legal case which saw him and his wife Amber Heard plead guilty to illegally bringing their pet dogs into Australia in 2015.

Johnny Depp pokes fun at his apology video while on Jimmy Kimmel Live.

"He looks somehow, like, inbred with a tomato," Depp said of Mr Joyce, who he called "Barnaby Jones".

"It's not a criticism. I was a little worried.

"He might explode."

It didn't take long for Mr Joyce to respond, laughing off the insult at a press conference on Wednesday morning.

"I think I'm turning into Johnny Depp's Hannibal Lecter, aren't I?" he said.

"I'm inside his head, I'm pulling little strings and pulling little levers. Long after I've forgotten about Mr Depp, he's remembering me."

Mr Joyce was also asked which vegetable he'd rather be compared to.

"Something sleek and sensitive, just like me," he said.

After last month's court appearance, Depp and Heard posted an unusual apology video which went viral on social media.

The Pirates of the Caribbean star did not reveal who scripted the video, saying it was put together by "an absolute genius".

"These are the things you have to prepare a long time for and you know, to be able to tap into the emotion that you need," Depp said dryly.

He mocked the Government's choice to threaten to euthanase the miniature dogs "because there's so many poisonous creatures in Australia, you could die at any minute".

"I think the choice they made to utilise the taxpayers' dollars to globally chase down a couple of teacup yorkies and give them 50 hours to live … I realised the badness of my ways so I was kind of repenting," Depp said.

Sorry, this video has expired Depp and Heard post apology video over Pistol and Boo incident

Depp's battle with Mr Joyce began when his pet dogs Pistol and Boo were discovered to have been illegally snuck into the Gold Coast while the Hollywood star was filming the latest edition of the Pirates of the Caribbean series.

"Mr Depp either has to take his dogs back to California or we're going to have to euthanase them," Mr Joyce said in 2015.

Mr Joyce, who is also the Agriculture Minister, said Australia's quarantine rules could not be bent for Depp, even though he had been voted the world's "sexiest man alive twice".

"It's time that Pistol and Boo buggered off back to the United States," he said.

Depp had insulted Mr Joyce since the deportation, but the Minister had the last laugh after the couple pleaded guilty and posted the apology video.

"At the end of it we've got a message that is going all around the world right now, it's going off like a frog in a sock telling people that if you come into this nation and you don't obey our laws, you're in trouble," Mr Joyce said.

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