There is a condition only triggered by cold. It is cryoglobulinemia.

That long word means peptide antibodies over produced by the bone marrow, circulate in the body, and when exposed to cold, they thicken like a gel and prevent the blood from circulating properly. They loosen up in heat, and there is no treatment for this except avoidance of cold. Many of these patients move to warm climates therefore.

This can be tested for with a blood test. Most doctors do not screen for it at the beginning of PN symptoms, and you would have to ask for it, in fact. It is not as common as other causes triggered by cold.

Also if you have other circulation problems, smoke for example, you can have other factors reducing blood flow to the feet.
Raynaud's syndrome is one, where the blood vessels contract and that is more common. Autoimmune issues can reduce blood flow to the feet too. When the blood flow to the feet changes, nutrients cannot get in, and by products of metabolism cannot get out, so the nerves suffer from this, and if it is not fixed or attended to, the nerves can eventually die and that is permanent.
Long standing inflammation/damage in the tissues of the feet cause poor blood flow too. This is why the epsom salts are so important. They help the tissues return to a more normal functioning.

If you do not have these symptoms in your hands, I would look at mechanical things involving the feet. Your sport, may be a factor, with the feet being so important in soccer. Kicking may over time damage the joints in your toes. Tying laces too tight compress delicate nerves. So seeing a sport doctor or podiatrist with experience in sport injuries to the feet would be the first line you should pursue. Neurologists in general are not going to find any triggers that are mechanical damage in your feet.

The drugs they give you (except for IVIG), do not heal anything.
There is however some new research that amitriptyline or its cousin nortriptyline has some activity in peripheral nerve regeneration. But that is new information at this time.
They cover up symptoms, only (gabapentin, Lyrica, Cymbalta). Most doctors believe you cannot heal, and that is just a shame. Many patients can and do. 100% may not be attainable but many do improve significantly. That link I gave you has posters who were very disabled by alcohol, and they are improving and posting about it. Denial is your enemy and must be changed.

http://neurotalk.psychcentral.com/thread104096.html
This is the link again.