Chrome 70 accepts TLSv1.3 RFC - does your site attempt to provide TLSv1.3? If so, which draft/version?
You don’t really provide enough information for anyone to be sure on what the problem is…
You could start by listing an FQDN that displays this type of problem/behavior.
Both show TLSv1.2 ONLY with:
TLS_ECDHE_RSA_WITH_AES_256_GCM_SHA384 (0xc030)
TLS_ECDHE_RSA_WITH_CHACHA20_POLY1305_SHA256 (0xcca8)
TLS_ECDHE_RSA_WITH_AES_128_GCM_SHA256 (0xc02f)
TLS_ECDHE_RSA_WITH_AES_256_CBC_SHA384 (0xc028)
TLS_ECDHE_RSA_WITH_AES_128_CBC_SHA256 (0xc027)
Or, update the client to match the server:
TLSv1.2 ONLY with:
TLS_ECDHE_RSA_WITH_AES_256_GCM_SHA384 (0xc030)
TLS_ECDHE_RSA_WITH_CHACHA20_POLY1305_SHA256 (0xcca8)
TLS_ECDHE_RSA_WITH_AES_128_GCM_SHA256 (0xc02f)
TLS_ECDHE_RSA_WITH_AES_256_CBC_SHA384 (0xc028)
TLS_ECDHE_RSA_WITH_AES_128_CBC_SHA256 (0xc027)
That client supports all five of the server ciphers…
They should be able to communicate securely.
Please show a screenshot of the message - where it happens.
I do get an error when using: curl -Ik https://www.lovcour.com/
which returns: curl: (35) error:14094410:SSL routines:ssl3_read_bytes:sslv3 alert handshake failure
I’ll try to find more information on that.
I think SNI requires a TLS connection before making a specific URL request.
But it seems the default site may be setup in a way that conflicts with modern requirements. [It may be set to use SSLv3 or RC4 only.]
So they can’t communicate; even though the vhost config is set properly.
You need to check all vhost configs - especially the default/first vhost for port 443.