Solskjaer had identified Borussia Dortmund winger Jadon Sancho has an absolute priority, but United were unable to tempt the Bundesliga club into selling their prize asset for anything less than their £108million valuation.
The United boss also wanted to sign a left-sided centre-half and was disappointed at having missed out on Nathan Ake who joined local rivals Manchester City instead.
Similarly, United were unwilling to meet Aston Villa’s asking price for their talisman Jack Grealish and were also priced out of a move for RB Leipzig’s France international centre-half Dayot Upamecano.
Donny van de Beek represented the only headline arrival prior to a frantic deadline day during which United completed deals for Edinson Cavani, Alex Telles, Amad Traore and Facundo Pellistri.
Despite the frantic and often chaotic nature of United’s summer dealings, Woodward was adamant he was satisfied with the new arrivals and claimed they had all been long-term targets who fit in with the club’s recruitment strategy.
‘To that end, we are pleased with our recent additions to the First Team squad of Donny van de Beek and Alex Telles, two players we had been tracking as part of our recruitment process for a long period, and Edinson Cavani, a top striker who adds a new option to our forward line,’ he said.
‘We also welcome Facundo Pellistri and Amad Diallo, who will join in January, two exciting young prospects who have also been scouted extensively.
‘Added to the arrival of Bruno Fernandes earlier this year, these recruits underscore our continued commitment to strengthening the squad and take our net investment in new players since summer 2019 to over €200m – more, I believe, than any other major European club over that time period.’
The spectre of Mauricio Pochettino, who remains unemployed following his exit from Spurs a year ago, continues to loom over Solskjaer every time he suffers a poor result, but Woodward is confident the club will continue to thrive under the current manager’s stewardship.
He added: ‘On the field, we will never be satisfied at Manchester United unless we are winning trophies.
‘But our third-place finish in the Premier League and strong cup runs last season showed that, while there is more hard work ahead and the path is not always smooth, we are making progress.
‘We have a clear strategy under Ole to build a successful, committed team, with a core of home-grown talent blended with high-quality recruits, that plays fast flowing, attacking football.’