Melasma is very easily provoked by medium chemical peels, IPL, Q-switched laser, or non-ablative laser, all of which have been used to treat it. I would wait at least 2 weeks to let the inflammation from the peel settle down completely and then assess what effect the peel had on your pigmentation before proceeding with laser treatment.
Topical bleaching agents such as Triluma (recently re-released) containing hydroquinone are proven to be most effective to treat Melasma and are, therefore, first-line treatment. If not adequately improved after 3-4 months, I then will usually start a patient on a series of salicylic acid peels alternating with either low-level BBL (intense pulsed light device) or non-ablative 1540 treatments. Non-aggressive settings are key given the sensitivity of melasma to these treatments. No matter the approach used to treat melasma, recurrence is very common; a solid sun protective regimen including daily zinc containing sunscreen is important as is removal of possible aggraviting factors like oral contraceptive of hormones if possible.