The midfield pair have snubbed Liverpool in favour of moving to Chelsea in the last week, despite having bids accepted for both.
Liverpool had been chasing Lavia for much of the summer, having three bids rejected, before lodging an audacious £111m bid for Caicedo, which was accepted by Brighton & Hove Albion.
However, Caicedo remained firm on his stance that Chelsea was his preferred destination and his move to Stamford Bridge was confirmed on Monday.
After missing out on the Ecuadorian, Liverpool went back in for Lavia, and had a £60m bid accepted by Southampton, but history repeated itself as Lavia also opted for Chelsea, with official confirmation still pending.
Therefore, with a number six still high on the agenda despite recently agreeing terms with Wataru Endo from Stuttgart, the Daily Mail claims that Liverpool are keeping tabs on six players who are still viable options to bring in before the deadline.
Two of the more prominent names who have featured are Fulham's Joao Palhinha and Cheick Doucoure of Crystal Palace.
An instant issue with Palhinha is the £60m price tag for a 28-year-old, as well as the fact that the Portugal international is currently out injured.
Palhinha played just 45 minutes in pre-season, and missed their opening day win at Everton with a shoulder issue.
The midfielder had a fine season, though, helping Fulham to a top-half finish as a regular starter in his debut campaign in England.
Doucoure enjoyed similar success with Palace, being named as their Player of the Season also in his debut year in the Premier League.
It is believed Palace have placed a £70m valuation on the
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