Your Garmin help, please

I used a 510 to log some runs while on holiday. Unfortunately due to a lack of network connection these runs got weren't uploaded to Garmin Connect and don't appear to have been stored on my phone.

When I got back the device halted at loading profiles as I set off on my first ride. I tried restarting several times but ended up doing a factory reset (lap, start/stop and power buttons).

Is there any way to recover the data for these activities?

Cheers

Is your device set to record to the garmins own internal memory or the micro sd card? If the latter your activities will be on the card in the actvities folder. If not they are almost certainly lost.
Depending upon your orientation either use some sort of file manager to explore your device whilst plugged into a pc/mac and look in the actvities folder for files with extension .fit. These are your runs.