Several thousand people are feared killed in the flare-up of the conflict. Three ceasefires have failed in the past six weeks and Azerbaijan's superior weaponry and battlefield gains have reduced its incentive to seek a lasting peace deal.
Azerbaijan said on Sunday it had captured Shusha, known by Armenians as Shushi, which sits on a mountaintop overlooking Stepanakert, the city regarded as the enclave's capital by its ethnic Armenian administration.
President Aliyev announced a list of 48 settlements he declared liberated on Monday in several parts of the enclave.
An Azeri defence ministry video posted online showed Azerbaijan's national flag flying over deserted streets in what it said was Shusha.