Boehly traveled to Spain on Thursday to discuss various arrangements with Barcelona. The Catalans were eager to mark the cautious team of Alonso and Azpilicueta.
According to The Mail, the Spaniards are looking for inexpensive ways to upgrade their team and are prepared to offer the couple to Chelsea if they do.
Depay signed a free transfer agreement with Barcelona the previous summer and finished the season as the club's leading scorer with 12 association goals, but the La Liga team is open to his departure.
The additions of Robert Lewandowski and Raphinha, who would increase competition for positions in Xavi's side, are what Barcelona is pursuing in their pursuit of discounts for.
According to The Mail, the Spaniards are looking for inexpensive ways to update their team and are prepared to offer the couple to Chelsea if they will agree.
Dest is another anticipated addition for Chelsea, as the USA international has previously been linked with a move to Stamford Bridge. The 21-year-old may compete with and protect Reece James while fitting within Thomas Tuchel's wing-back system.
Depay and Dest are two names that have reportedly been suggested to Chelsea for Alonso and Azpilucueta, according to the Daily Mail, with new owner Todd Boehly in Barcelona to look at several options.
On Thursday, Boehly met with president Joan Laporta, expert Jordi Cruyff, and Barca president Mateu Alemany.
Depay worked well for Lyon in France before joining Barca the previous summer on a free swap.
In his debut season, the Dutch international scored 13 goals in all oppositions.
However, given that Pierre-Emerick Aubameyang scored 12 goals after joining from Arsenal in January, he might have to compete for playing time next season.
Dest, a USA international, struggled with injuries on the previous assignment and will need to demonstrate his abilities in advance of the Qatar World Cup.
Chelsea was also interested in Frenkie de Jong, a midfielder for Barcelona.
Declan Rice of West Ham, a childhood admirer of Thomas Tuchel's, was targeted by the Blues in an effort to support his midfield selections. In any event, the Hammers tagged the England international with a £150 million price tag.
De Jong might have been purchased for a fee of £56 million.
In any event, De Jong's former boss Erik ten Hag's Manchester United failed to defeat Chelsea.
The Red Devils and Barca have agreed to a deal for De Jong, but the transaction is being delayed since Barca really owes the player £24 million in conceded payments and prizes from the season.