Some flashpoints require you to complete it on normal some don't. Boarding party is one that you do need to clear on normal, as is Directive 7. A few others are out there but I cannot recall them off the top of my head.
Just wanting to get some clarity on this. I was asked to heal Boarding Party HM by my guild, but never doing the quest I wasn't able to talk to the guy and get the HM quest. So are all HM FP's like this? Do Normal then be eligible for the HM? Of course I did BT at 10 because there were 1000000000 level 10's looking for a group during head-start.