Depends...
As everyone knows this industry it is about timing and who you know.
With that said, in regards to timing back in the late 90's and early 2000's you didn't need multiple recommendations because everyone was hiring and all the airlines needed "qualified" pilots. I got hired at FedEx with 1 LOR and a little more than the 1000 PIC turbine requirement (1800 PIC). The difference is that I was hired when FedEx was awarded the postal contract and they needed 500 pilots ASAP...lucky me.
Back to your question...in TODAYS market and current airline situations...IMHO I would guess that you would need, as a minimum, 2 LOR with 1 person personally visiting the CP on your behalf and some solid flight time to get called at FDX. Your online app must have the FDX pilots employee number AND that pilot must submit one as well.