openssl s_client connection fails

[Patrice Guérin]

Hello,

I experience the following on Linux Debian 9 (openssl 1.1.0l) :
When using openssl s_client to connect on a site, I get the following

CONNECTED(00000003)
3072988928:error:14094410:SSL routines:ssl3_read_bytes:sslv3 alert handshake failure:../ssl/record/rec_layer_s3.c:1407:SSL alert number 40
---
no peer certificate available
---
No client certificate CA names sent
---
SSL handshake has read 7 bytes and written 176 bytes
Verification: OK
---
New, (NONE), Cipher is (NONE)
Secure Renegotiation IS NOT supported
Compression: NONE
Expansion: NONE
No ALPN negotiated
SSL-Session:
     Protocol  : TLSv1.2
     Cipher    : 0000
     Session-ID:
     Session-ID-ctx:
     Master-Key:
     PSK identity: None
     PSK identity hint: None
     SRP username: None
     Start Time: 1605691623
     Timeout   : 7200 (sec)
     Verify return code: 0 (ok)
     Extended master secret: no
---

The same arises with -tls1, -tls1_1 and -tls1_2.
So I've built the latest 1.1.1h and test it in the same conditions and 
it works in all cases...

Does anybody have an idea on what's going wrong ?

Thank you in advance.
Kind regards
Patrice.