The Blues suffered a poor campaign by their standards, finishing out of the top four in fifth.
It means that the former Premier League champions will by plying their trade in the Europa League next season, along with Arsenal and Burnley.
And current boss Antonio Conte is under huge pressure, with several reports stating that the Italian will be sacked after the FA Cup final this weekend.
But it has not stopped the club pushing forward with a number of transfer targets after Chelsea chiefs devised a transfer shortlist.
Despite lacking a designated transfer chief, reports from England that the Blues have identified two top targets going into the summer.
The Daily Mail reported that Manchester United’s Anthony Martial and Nice star Jean-Michael Seri are to be pursued in the transfer window, which opened yesterday.
Martial is currently unsettled at the Red Devils have fallen down the pecking order, below Alexis Sanchez, Jesse Lingard and Marcus Rashford.
The Frenchman endured disappointment yesterday after being told he would not be going to this summer’s World Cup.
A deal looks unlikely, but United hold the interest in Blues ace Willian – who gets on very well with Jose Mourinho.
And Ivorian Seri has been on the club’s radar for some time and is an Arsenal target too.
However, it is understood that the Nice midfielder would prefer a move to Stamford Bridge over the Gunners.
European superstar rejects Chelsea after top-four failure
Chelsea are set for a major rejuvenation this summer after a disappointing campaign but their hopes in the market have been affected following the club’s failure to secure a top-four finish.
Spanish outlet Don Balon states a number of clues are queuing up to sign Real Madrid ace Isco, who has struggled to become a regular in Zinedine Zidane’s side, and Chelsea are one of those expressing an interest.
However, it’s claimed Isco has a number of offers on the table and he’s immediately rejected the possibility of a move to Stamford Bridge due to the west London side not having Champions League football to offer next season.
The 26-year-old is open to leaving the Santiago Bernabeu this summer but is determined to remain a Champions League player, as he seeks to continue being a regular in the Spain national side.
Since making his debut in 2013, Isco has accumulated 26 caps for his nation and boasts an impressive return of ten goals, though he faces plenty of competition for a spot in the side – and a transfer to a club that guarantees regular starts could help him in the long-term.