With Courtois' contract with the Blues set to expire in 2019, Conte has said that while he doesn't get involved in renewals usually, this one needs to be sorted, per Kieran Gill of MailOnline.
"The renewal of the contract is a task for the club," he said. "As you know very well, if a big player decides to not sign a new contract, it is difficult for the club to try to face this issue. But at the same time there is space to deal with this type of situation and to try to solve the situation."
As HLN's Kristof Terreur relayed, Conte is a massive fan of the former Atletico Madrid loanee:
Kristof Terreur 📰 @HLNinEngeland
Pretty clear Antonio Conte ❤️ Thibaut Courtois: “I can tell you he is one of the best, maybe the best goalkeeper in the world.” #cfc https://t.co/idz5iKLWEm2017-11-24 22:39:37
Per Gill, Real are keen to bring Courtois back to La Liga. He's said to be valued at around £70 million by the Premier League champions.
The Belgian has been a crucial figure at Stamford Bridge since Jose Mourinho introduced him into the first team in 2014.
Prior to that campaign Courtois had spent three seasons away on loan at Atletico, culminating in a league title win during the 2013-14 campaign. He's won a further two titles with Chelsea and was central to Conte's success during his first season at the club, 2016-17.
As we can see here, courtesy of WhoScored.com, the stopper was part of a watertight Chelsea defence on their way to top spot:
Most clean sheets in the Premier League last season: 🥇T. Courtois - 16 🥈H. Lloris - 15 🥉D. De Gea - 14 https://t.co/hzpxu1P4772017-6-23 11:00:03
The 25-year-old is one of the standout goalkeepers in football, and the concern from Conte that he might be on his way is understandable.
Courtois has shown himself to be an incredible shot-stopper during his time in the Premier League. For such a tall man—the Belgian is 6'6"—he has consistently showcased incredible agility. And his height allows him to reach efforts on goal that few goalkeepers could.
There are other attributes that make him a special goalkeeper. Chelsea's defenders will enjoy playing ahead of him, as so often the Belgian is quick to take pressure off those in front of him with his excellent command of his penalty area.
Former Sunderland goalkeeper David Preece suggested the Blues man is the standout goalkeeper in the Premier League in such instances:
David Preece @davidpreece12
@SoccerStash @ConorPacKelly @waynefarry @UtdRantcast Courtois the best in the league dealing with high balls but De Gea’s distribution is far better than Lloris and Courtois imo.2017-10-14 13:44:10
A torrid 2015-16 campaign meant some doubts about Courtois were implanted in the minds of Chelsea supporters, and his distribution sometimes prompts concern.
However, as Conte suggested, in the main the Belgian has proved himself to be one of the elite operators at his position. Losing him would be a massive blow to Chelsea, and if a new contract isn't agreed by the end of the campaign, worries would also intensify over potentially losing him for a cut-price amount.