Frenkie de Jong is not interested in leaving Barcelona right now. Barcelona also needs de Jong to strengthen the midfield. So Chelsea has to hope to get Frenkie de Jong into the team. Bernardo Silva is a key player for Manchester City. Guardiola is unlikely to decide to sell Silva. Chelsea coach prefers players whom Chelsea would not be able to recruit. Chelsea could not add any such big star player to the team this season.
Rumors circulating Chelsea want Frenkie de Jong, even they have prepared everything they need, so that players want to join them, whereas before the player had made sure he did not want to get out of Barcelona in this season, something that could not be pursued by Chelsea, even though it was good players or clubs have made sure they are not sold
Bernardo Silva to Chelsea seems only remains rumours because currently he linked to Barcelona even he wouldn't consider the offers from other clubs besides Barcelona because he interested want to play under Xavi strategy and reported he already had personal agreement with Barcelona regarding this transfer but Silva have to wait until the end of this transfer window because Barcelona want to ensure Frankie De Jong status first whether he will decided to stayed or leave
It seems that Frankie de Jong will also make sure to survive in Barcelona, so Bernardo Silva is very unlikely to join Barcelona, although he wants to join Barcelona rather than Chelsea, because the rumors circulating Frankie de Jong are ready to be deducted salary next season, because he still wants to survive In Barcelona, maybe at the end of the transfer window there will be a surprise.