Parallelization option gives Import error for Package files

Question

I have an issue when trying to use parallelization when loading a stand-alone Package. To simplify the question I have a few scenarios:

1. The first scenario, with single-kernel evaluation, works fine:

   Needs["MyPackage`"] then run   
   Map[function_call_from_package, {data}]
   

2. Now on to multiple kernels and parallel evalution:

   ParallelNeeds["MyPackage`"]
   ParallelMap[function_call_from_package, {data},  DistributedContexts -> {"MyPackage`", "Global`"}] 
   

   this fails, reporting "Cannot open MyPackage`"

3. I also tried tips from a previous discussion (Package found with `Needs`, but not with `ParallelNeeds`). This reports "Import::nffil: File not found during Import"

   It's trying to load stuff from ".m" files which have generic paths

   "profilePath"-> "/Package/

   because this is later joined as

   Import[StringJoin[Directory[],OptionValue["profilePath"]],"Table"];
   

4. If I put absolute paths to "profilePath" -> "Absolute paths", it works.

The latter is an ugly solution, so I would appreciate your help on this.