Eli can jump house walls without permission?

[BravoHotel]

If that's the case then it would be like seeing how long you could hold your breath. Eli could enter just about any property as long as he didn't stay too long.

But not unlike holding your breath this would probably also greatly limit Elis' abilities, e.g it becomes much harder if possible at all to run a hundred metres whilst holding your breath.
So if Eli enters somewhere without invitation yes he/she may be able to spend some time there and leave weak but "alive" but this time will most likely be greatly reduced if Eli were to want to use super strength or fly, if he/she still can at all under such circumstances.

[ElisLove]

When Virginia wake up in the hospital she apparently is not suffering nothing.
Which can be the hospital is considered 100% public and the pool house is private, only students and who students invite can join.

[metoo]

I think it has been mentioned before that Eli didn't ask permission to enter the hospital, but did ask at the pool house. While both being similar public amenities.[...]

There is a difference. The hospital reception is a public space, into which anybody has access (this was noticed by Marok earlier in the thread). The pool house is not, especially not considering that the boys were naked. And the hospital room where Håkan lay apparently was protected similar to a home.

[metoo]

[...]If that's the case then it would be like seeing how long you could hold your breath. Eli could enter just about any property as long as he didn't stay too long.

Yes, but it would gain him very little at a great cost. The bleeding started within seconds, and lasted less than a minute, it seems. Still Eli was sufficiently weakened not to attempt to move that night. It apparently was also very painful, which would be another reason for Eli not to attempt entering homes without an invitation.

[jkwilliams]

When Virginia wake up in the hospital she apparently is not suffering nothing.
Which can be the hospital is considered 100% public and the pool house is private, only students and who students invite can join.

Wow, that's a good catch. I totally forgot about Virginia.

Virginia is a vampire but I don't think she's one in the same way Eli is, at least not yet. Virginia can still be overpowered by the nurses and held down with arm straps. Eli has supernatural strength and wouldn't have any problem with something like that. (Unless you want to argue that being in the hospital is making Virginia weak.)

It does make you look at those hospital scenes in the film a little differently. When Virginia is first brought in she's screaming and thrashing around, and afterwards, she feels so horrible she just wants to die.

[ElisLove]

I think Virginia was weak because she not yet get fed provided that transformed. And alread made two days (if I remember correctly) that she had transformed.

[jkwilliams]

I think Virginia was weak because she not yet get fed provided that transformed. And alread made two days (if I remember correctly) that she had transformed.

That's another good point but Virginia was being given blood transfusions in the hospital.

"I'm making an effort. And they've given me blood. But if I let go. At any moment I could let go. And then it would take over. I know it. I feel it." Virginia took a few deep breaths, continued, "You are standing there. I'm looking at you. And I want to . . . eat you."

I was thinking that it could also be Virginia doesn't understand or know how to control the new powers she has.

[ElisLove]

But the blood transfusion not used for foods to vampires. When Hakan will fetch blood for Eli in the first time he says about the quality of blood. The blood can not take long after be removed from the victim. The closer the better source. Moreover blood of transfusion suffer various stages of preparation for transfusion that probably take it effect.
I remember that Oskar also suggest this for Eli sometime of book, but Eli says she has no way, she need kill people.

[BravoHotel]

Perhaps as the hospital room was designated for Virginia it does not require invitation.

[ElisLove]

Perhaps as the hospital room was designated for Virginia it does not require invitation.

The hospital room that Virginia stay could be public since there were other people over there.