Without examining you or looking at a photo, it is hard to give you sound advice. But, the first step is to find an experienced fat transfer surgeon who performs many treatments around the eyes. As a general conservative approach, the first step is often direct micro-aspiration during the early phases (i.e. within a month). The fat is still soft and can potentially by suctioned out. This can be coupled with massage, but massage alone rarely treats the problem completely unless it is subtle.
Next step would be to inject the fat with a very dilute steroid. Often this will take several treatments. This is a delicate area so it is important the injections are done very conservatively and placed in the correct levels to avoid complications. Unfortunately, if the lumps are because of too much fat placed into a given area which resulted in a raised lump, many times it will require a direct excision through a small skin incision. Depending on the location, it can be done through a blepharoplasty incision, but often times, a direct incision over the lump is more effective. But if the size is diminishing with time, then I would certainly advice waiting it out.
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