PT to Logic and Logic to PT transfers are very commonly done by using a very simple but effective process. Using your situation, you'd ask the PT op to "consolidate all tracks from bar 1", meaning that they'd bounce all tracks from bar 1. When you lay them up in Logic, you align them all to bar 1 and you're good to go!
That's the general vibe, now here's your checklist:
1. Consolidate all individual tracks from bar 1
2. Request AIFF or WAV files (this is important if you want to prevent from pulling your hair out dealing with SD2 files). There's no reason that the engineer should give you any flack about this.
3. Have the engineer export a MIDI file so that you have the tempo map as well as any markers that were in their original session file. IMPORTANT: if there are no MIDI tracks in their session, have them create a "dummy" MIDI track with a note at the downbeat and another at the end of the track. If they don't do this, the MIDI file you'll receive won't be readable by Logic.
4. When you get your files, load up the MIDI file in Logic by using the OPEN function, not the import function. This is important! Once you have your tempo map and other MIDI-file-derived info in your Logic project, add the audio files, making sure to set Logic's sample rate to match that of the files you receive before adding them.