Doménech signed new contracts in September 2016 and November 2019, tying him to Valencia until 2023 and enacting a buyout clause of €50 million. In the summer of 2020, the club wanted to offload his competitor Jasper Cillessen due to financial problems but this never transpired; nonetheless, in the ensuing season he played the majority of league games for the first time due to the Dutchman's injuries.