Season the duck breasts generously with salt. Place both duck breasts in a saute pan large enough to accommodate without crowding. Bring the pan to a medium-low heat to render the fat from the duck. Periodically remove the fat as a lot of it begins accumulate in the saute pan. This is a low and slow process, about 20 to 25 minutes.
Once the fat has rendered and the duck skin is crispy and brown, once again remove the excess fat from the pan. Turn the heat up to medium-high and flip the duck to sear the bottom. Once the bottom is brown turn the duck so skin side is down. Add the pomegranate molasses and thyme to the pan. Cook until the molasses starts to get thick and syrupy. Turn the duck over for 2 to 3 minutes.
Remove the duck from the pan and let rest for 8 to 10 minutes. Remove the thyme bundle and add the pomegranate seeds. If the mixture is very thick add a few drops of water to loosen things up.
Once the duck has rested, slice it on the bias and serve drizzled with the reduced molasses and seeds.