Has anyone managed to get through the blocked customer care email addess

or reached anyone at KLM who can help in order to appeal the level of compensation they have offered?

Not sure how relevant my experience is to your own situation, but we had an issue with delayed baggage in 2022. My wife and I were over to Budapest for a long weekend but our luggage did not arrive with us on our flight. Checked our air tag which we keep in our suitcase and showed luggage was still in Schiphol. We did not get suitcase back until the Monday evening and we were heading home on the Tuesday morning. We contacted KLM helpline and they told us to go out and buy replacement clothes/toiletries in Budapest which we did. I actually bought a new pair of Levi 501's along with the rest. Total cost was approx 250 Euro for everything we bought and we got this refunded within the week. Obviously had to keep the receipts.

Not sure what other compensation we could have got

There is no compensation for delayed luggage, only reimbursement of reasonable expenses incurred due to the delay.

For bags that are delayed, they will reimburse reasonable expenses accrued on the basis of the purchase receipts that you submitted . That's why it's very important to obtain, and keep, receipts for the essentials that you buy.

Only if there are no receipts, or it appears that the receipts related (partially) to unnecessary items under the circumstances, will they offer a lower settlement.

Without knowing what your exact scenario is, I'm not sure that there is anything further we can advise you. Email is not a manner by which such reimbursement requests can be lodged, and if you are in dispute regarding an open case, you should have the ability to add further notes to the case.

https://www.klm.com/information/refu...e-compensation

Have had an issue with KLM now claiming expenses for some replacement clothes and toiletries for my wife and myself. Our luggage did not make the connection in AMS (on March 1st) and was delayed by over 24 hours arriving at our hotel in Buenos Aires. We've been travelling in South America for the last few weeks and arrived home on March 27th. I submitted the claim on March 29th and now KLM is saying that I missed the 21 day deadline for the claim and that they will not pay anything. Has anyone had any experience with this and whether it is possible to have them review it further?

Does anyone know of a means, email or telephone, of reaching out to KLM/Air France customer service. The Contact Us options on their website keep bringing me to the claim page which I update but each time I Track the claim it says that it has been closed without me receiving any kind of response. As a result of the travel, Business Class return Ireland to Buenos Aires/Rio de Janerio, I've attained Silver Status but there is does not seem to be any dedicated support line for Silver (unsurprising) that I can raise the matter with. It's frustrating dealing with an automated system but I guess that's deliberate on the airline's part.

Here are the Dublin numbers
Air France Service Line: (01) 659 0442 (0800-2000)
KLM Service Line: (01) 525 1804 (0800-2000)

Beware that opening a new line of enquiry may not be possible. They will probably only direct you to make contact with the team already dealing with the case via the specified channels for such a ticket/case.