Techniques involve: in response to a first session for asynchronous snapshot replication being established between a first source device and a destination device, determining whether the first source device and the destination device have a common baseline snapshot. Such techniques further involve: in response to determining absence of the baseline snapshot, determining whether initial synchronization from a second source device to the destination device is completed. Such techniques further involve: replicating, based on a result of the determining, at least one user snapshot at the first source device to the destination device. Accordingly, duplicated user snapshots at the destination device are significantly reduced. The snapshot management and space utilization of the destination device are also improved.