Unfortunately I am going through it for the second time, so here is the process I followed.
At scene, when there are no injuries to tend to (as in your case), take plenty of photos of the vehicle damage and vehicle position.
If you did not get photos of the general area of the accident, that is fine. Google maps and street view is great for this and should be used in any case.
Where the Gardai are called, take note of the Garda name and badge number and ask where they are stationed.
Exchange insurance and contact information with the other party and never admit liability, even if you were obviously in the wrong. This is a condition of your insurance, though I know you were not in the wrong here.
Have witnesses contact information taken if you can. The Gardai may have done this if they attended.
After the accident scene:
Once any injuries are checked out, try to keep names of treating Doctors, if possible. Get your GP to check you out too. This is important for keeping track of potentially troublesome injuries.
Contact your insurance company at earliest convenience and inform them of the accident. Give the third party details and tell them that you wish to make a claim from the OTHER parties insurance and not your own. They should assist you here. Ask them about a rental car and how you should proceed and how to get the other party to cover it. Your insurer will send an accident report form for you to complete.
The other insurance company will contact you, but you are welcome to contact them first. You may need to sort a rental with them, which won't be an issue if liabilty is not in dispute. If it is, you may need to cover the cost of it yourself and then claim it back in special damages, usually with the property loss claim.
The other party will send an assessor to look at your car. I suggest you be present when the assessor arrives. Have your printed car ads, including the thread where you paid €2500 for the car a year ago. Haveall receipts of work done, down to the oil changes and air filters. Make it obvious the car was well loved and not abused.
Now, get your photos organised for the accident report form. Save a couple of google map and street view images and use MS paint (crude, i know, but effective) to mark any areas. Mark other vehicle positions. Use direction arrows to make it idiot prrof. Write the report in full detail, mentioning the weather, the road conditions, the traffic conditions, your seatbelt, if you had the radio on, of off.....everything. I can show you my accident report stuff if it helps. I am meticulous with details, which is important for this type of thing.
Assuming liability is not in dispute, the insurance company will make you an offer for property damage. Sign if happy, and argue if not. Most people have to argue the value, but I knew the assessor was being as fair as possible with me, so I didn't argue. When signing, be sure that you are signing ONLY for property damage and not for ALL claims and damage. It is not unusual for an insurance company to try to trick people into settling ALL claims, when the intention is only to settle for car damage.
If you are needing to claim for injuries, I suggest going to a solicitor. I can recommend a good one who will offer the no-win no-fee service. He is my family solicitor for years and isn't one of these guys who froth at the mouth with injury claims. The aim is to get better, quicker, not to get rich. So take the advise of the Doctors and hopefully you will not findnyou have a serious injury. I was absolutely gutted when my back injury turned out to be so serious.
Any claim will go through the Injuries Board
www.injuriesboard.ie and the application is about €50. A medical report will need to accompany this, which cost €250-€300. Some solicitors will do this immediatly as I have heard. Mine waited an appropriate time, not to jump the gun, which has in fact saved about a year (long story). The injuries board process can be read on the site, so I won't get into that, other than to say that the other side have 3 months to make a decision. The injuries board will not always accept cases and may issue a court authorisation. They seem to encourage you do not seek legal advice. I think legal advice is essential.
If you have any questions, ask away.
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