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Matthew Mott has challenged England's white-ball stars to target a prolonged period of dominance that is the hallmark of every truly great international side.
Reigning 50-over World Cup champions but semi-finalists in the Twenty20 equivalent last autumn, England have appointed a limited-overs head coach who has a track record for instilling a ruthless outlook.
Australia's women's side emphatically proved themselves the pre-eminent team of this era under Mott's seven-year rule, which he ended last month after agreeing to supervise Eoin Morgan's charges in the England men's coaching shake-up.
Mott is well aware of the talent England have at their disposal, so while he is not planning a radical overhaul in their much-lauded on-field approach, he hinted at tinkering with their mindset.
"Definitely this team has functioned well, there's no doubt about that, but where you want to be is competing in all the finals all the time - that's the next frontier," said the Australian.
"This team is on the cusp of getting there and there's a lot of great teams around the world but it's trying to get ahead and then try and put a distance on the field is probably where the team wants to get to.
"It's going to take some time to get there. When you really get judged in a great light is when you have that sustained success and you're competing in big games all the time. That's something we're hungry to do.
"I'm not going to come over here and try and reinvent the wheel. It's more or less just trying to get some incremental improvements across the board."
Mott revealed he initially applied for the Australia men's job that went to Andrew McDonald but an indirect consequence of being turned down led him to England's door.
He said: "To be honest, I didn't think I was a realistic chance of getting (the Australia men's head coach position).
"As it turned out there was some connection with the two companies that ran the process, they actually put me on a shortlist for the England job so once that opportunity came up, I was very excited."
Mott was speaking in Amstelveen, just south of Amsterdam, as England gear up for three one-day internationals against the Netherlands which have been squeezed in between the second and third Tests between Ben Stokes' side and New Zealand.
Focus is once again on Morgan, the architect of England's white-ball resurgence since 2015 but who is without a half-century in his last 18 T20 knocks, with an average of 16.
With the T20 World Cup in Australia just four months away it is a worrying statistic, but while part of Mott's remit is to oversee a changing of the guard when the time is right after signing a four-year contract, he believes Morgan still has plenty to offer.
"Great players go through runs at different times and sometimes you flick a switch and it turns and you wonder what all the fuss has been about."