The only 'solution' I thought of is linking a CVE to a CWE and then to a CAPEC (Method found in this link: How to find CAPEC items related to a CVE) but I am unable to get from a CAPEC attack pattern to a technique/tactic in the ATT&CK matrix.
(On a side note what is the difference between CAPEC and the ATT&CK matrix? They both seem to serve the same purpose to me)