According to reports from Spanish publication Sport cited by The Daily Mail, the Catalan giants are seeking to strengthen their defence and although other targets from across the continent are being considered, they are said to view Danish international Agger as representing the best possible value.
Barcelona's pursuit of defensive recruits is sure to come as an enormous relief to supporters, with manager Luis Enrique's predecessors at the Camp Nou having appeared curiously reluctant to address the club's obvious deficiencies in this area.
Barcelona's defensive woes
Following the disastrous signing of Ukrainian international Dmytro Chygrynskiy back in 2009, Barcelona - who finished second in La Liga last season in rather agonising fashion following a last-day draw with eventual champions Atletico Madrid - seemingly refused to entertain the idea of bringing in another central defender, with midfielder Javier Mascherano largely filling in alongside Gerard Pique during the lengthy injury absences endured by former captain Carles Puyol.
Such a bizarre stance finally softened last week, however, with Barcelona having completed a deal for versatile French defender Jeremy Mathieu and now it looks like Enrique is keen to further bolster his backline following Puyol's retirement at the end of the 2013/14 campaign.
Surplus to requirements?
Having moved to Anfield from Danish Superliga outfit Brondby back in 2006, Agger has become rather synonymous with Liverpool over recent years, with the 29-year-old making over 150 Premier League appearances for the Reds as well as winning both English domestic cup competitions.
However, while Agger has always remained a popular figure on Merseyside, his influence at Liverpool has notably declined under Brendan Rodgers, with the Northern Irishman often opting to leave him on the substitutes' bench for several important games last year.
If last summer's signings of Kolo Toure and Mamadou Sakho hadn't threatened Agger's position enough, Liverpool's most recent deal to bring highly-rated Southampton centre-back Dejan Lovren to the club would appear to have marginalised his status even further.
White it is not clear if £12 million would be enough to secure his signature, Liverpool would surely now be content to see Agger depart with Lovren firmly in the fold.
Indeed, the player himself has been evidently keen to ensure that his options remain firmly open this summer, with Agger only last week having spoken of his disappointment at how last season transpired and how he is subsequently considering his future.