When open the graphics made on desktop app in Web version, fonts are missing. Seems currently there is support only for Corel fonts and Google fonts, but if cannot use own fonts Web app is very limited...
With CorelDRAW Web September 2026 update, you can upload TrueType (TTF) or OpenType (OTF) fonts from your device to Corel Cloud so you can always work with the same fonts that you use on your desktop.