Here are two time expressions which are similar but not the same:

1. We’re having a break AT PRESENT
2. They should be arriving PRESENTLY

In sentence (1), we are on break at the moment while in sentence (2), they should soon be here. Therefore, AT PRESENT means now / at the moment but PRESENTLY means soon / in a few minutes.

Some other examples:

1. Sandra can’t come to the phone AT PRESENT because she’s in a meeting
2. If you can wait, she’ll be with you PRESENTLY