Though Liverpool have been responsible for one of the biggest deals of the transfer window so far - Jordan Henderson's ?16million switch from Sunderland - they have failed to land a number of targets.
Manchester United beat them to the punch for both Phil Jones and Ashley Young, while Sunderland outmanoeuvred them to clinch the signing of Conor Wickham.
In demand: Liverpool are interested in Villa's Downing and Blackpool's Adam
Liverpool still intend to complete deals for Aston Villa's Stewart Downing and Blackpool captain Charlie Adam but the inflated prices on British players means they may be forcedto look abroad for other targets.
Henry, principal owner of the club'sAmerican backers Fenway Sports Group, has reassured Liverpool supporters that new faces will arrive but stressed again they will not exceed their budget.
'We are determined to build,' he said. 'As long as we stay within the parameters UEFA has set forth underits Financial Fair Play rules, we will have flexibility.'
Welcome back: Alberto Aquilani (left) is returning to Liverpool
The suspicion remains that Liverpool, who added a friendly against Hull at the KC Stadium on July 23 to their pre-season itinerary, will have to offload a number of players before they can really press on with their recruitment drive.
Alberto Aquilani was one man Liverpool anticipated offloading before now but they failed to agree a fee with Juventus and the Italian has suggested he would be open to a resuming his Anfield career.
Dalglish welcomes his squad back from their summer break on Monday and Aquilani - who many had written off as ?17million misfit - insists he is not going back under duress.
'I return to Liverpool with great enthusiasm,' Aquilani said. 'This is not a problem. It's not true that Ididn't want to return to England.'
Liverpool confirm departure of Lee as Dalglish revolution gathers paceLiverpool flop Aquilani relishing Reds return after Juve loan spellKop owner Henry tells Twitter Reds will stick to long-term spending policy Explore more:People: Kenny Dalglish, Stewart Downing, Alberto Aquilani, Charlie Adam, Ashley Young Places: Liverpool, United Kingdom