There are a few possibilities. The first is that the blend just doesn't work for you. Your body chemistry, and your tastes, may simply be at odds with the chemistry and flavour of the Falcon, and what others may find enjoyable about it, you may find insufferable. For this, there's no cure. BUT, before giving up on it, I'd like to offer a couple other suggestions.
Try drying the tobacco a bit, and packing more loosely. Often, a tight pack can result in bitterness, and when coupled with moisture, this can be amplified. The distillates from the burning tobacco accumulate in the lower layers, and to those who are "tasters," being sensitive to bitter things (about 65% of the population), the resulting bitter components can be detected. Some like it, some do not. If you're a slow smoker, the bitter components can actually be enhanced, not mitigated. Drier tobacco, more loosely packed may reduce the effect.
Try smaller bowls: Personally, I find Latakia blends with big flavours, like Maltese Falcon, work best in smaller bowls; large bowls can be overwhelming to the palate, and as the bitter principles increase, which they will as any tobacco is smoked, some become acclimated to the more subtle flavours, and the bitter ones are all that continue to be detected. Sometimes, taking a short break, or drinking something to refresh the palate, like green tea, can bring things back to normal.
Try cleaning the shank: This may seem obvious, but tars that build up in the shank of a pipe can adversely affect the flavour of the smoke. Usually, this will result in a sharpness, even "bite" (always attributed to the tobacco, but often, the result of a fouled shank!) that can be mitigated with a good cleaning. You can feel gunk in the shank when you insert a doubled-over pipe cleaner. A little alcohol and a few pipe cleaners can work wonders.
If none of these things are found to help, then it just may not be the blend for you. There are many highly-regarded blends that I simply cannot smoke because they don't play well on my palate. We all work more or less the same, but each of us reacts to the basic stimuli of taste and smell differently. (There are some cheeses revered by the French that send me running in horror from the room...)
If any of these things is of help, I hope you'll follow up and share your experience. Stuff like this, when shared, always helps by expanding the body of understanding amongst the brethren.
Besides, I'm always curious.
-glp