Antonio Conte is already planning his summer transfer spending
Van Dijk was also linked with a move to Stamford Bridge, but after Southampton sold Jose Fonte to West Ham, Saints refused to let their other centre-half leave.
Antonio Conte is a long-term admirer of Morata and reports in Spain suggest the striker has been mentioned in negotiations with Real Madrid over the sale of Thibaut Courtois as part of a swap deal.
The Daily Mail claim Diego Costa, Cesc Fabregas, John Terry, Asmir Begovic and Michy Batshuayi all face uncertain futures at Stamford Bridge.
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Antonio Conte is a big fan of Real Madrid striker Alvaro Morata
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Chelsea were linked with a deadline day move for Moussa Dembele
The Italian boss is expected to keep a close eye on Nathan Ake and Kurt Zouma in the coming months too with interest from other clubs clear.
Defender Andreas Christensen, who is on loan at Borussia Monchengladbach, will also be on Conte's radar before he makes a decision on his future at the end of the season.
The report suggests Conte wants to make five new recruits with midfield and wing-back positions areas he wants to find cover for.