Clingy neighbour or just odd???

[csm93]

We have been in our house for almost 3 months and this behaviour is just getting bizarre now. AIBU or would this annoy you too?!

Neighbour will watch and wait until both of our cars (me and DP) are home. Will then knock on the door and invite themselves in for coffee (literally walk into our house and put the kettle on). If we are out, we get text messages asking where we are and when we will be back. We have started to ignore these messages.

Neighbour has also started getting deliveries sent to our house as the default address. They don't ask prior to check if we are OK with this, we just get DPD, Hermes, Royal Mail etc coming to our door with their parcels. Last week they tried ro deliver a 6 seater table and chairs to our house!!!! We have since started refusing the deliveries. It proper takes the p!$$.
(DP thinks they are doing this as an excuse to come over and/or reason to make contact).

We have a cat. One day, we came home from wherever we had been to find the neighbour in our back garden. When we asked what they were doing, they said "I'm checking on the cat, making sure he's OK whilst you're out". He's a cat FFS, and we were out for a matter of hours.

What's the reason for this bizarre behaviour?! In the beginning I interpreted it as they were desperate for the friendship, but it is really irking me now.

(We are similar age - mid/late 20s)

Is it a man or a woman?

Omg i get antsy after 2 minutes of pleasantries with my perfectly lovely, similarly anti-social neighbours.

Thos would drive me insane.

I would have stopped opening the door to them after the first time they pushed in.

I'd feel very anxious. Refuse deliveries & stop answering the door to them. Block their phones.

Thank you all for your comments and input, I appreciate having a space to just vent and get the opinion of others.
You've confirmed my suspicions in that this is incredibly odd and I am not being unreasonable to have stern words and nip this in the bud. I wanted to make sure I wasn't being OTT for somebody who was just trying to be friendly, but clearly it's the neighbour who is OTT (to put it politely!).

We have a Ring doorbell thank goodness and DP is going to go round and say something. And remind them that if they come onto our property again without our permission we will be informing the Police of the trespass.

P.S - there's no pampas grass in our garden @Sunnyday321 🤣 that did make me giggle x

Why are you avoiding saying whether the neighbour is male or female ?

If it's a man, I'd find the behaviour creepy . Woman are generally more neighbourly but behaviour seems OTT if female.

Lol how is she coming in for a coffee every night. Fuck that for a laugh

Any update OP? Have they stopped?