Jean-François,
Some other things to consider:
Are both the computer and the cFP module set for static IP addresses?
Have you tried a different cable?
Sometimes the ethernet auto-negotiation between two devices can fail, try explicitly setting your computer to either 10baseT or 100baseT and do the same thing to the FieldPoint module. For the FieldPoint module, this will be in MAX>>Remote Systems>>[ModuleName]>>Advanced Ethernet Settings.
Regards,
Aaron