Zombie movie with evolving zombies - ability to run & speak [closed]

Well, they're kind of zombies (They behave like ones, but the film insists they're mutant vampires). You seem to be looking for Against the Dark from 2009 with Steven Seagal.

When most of the population of Earth is infected with a virus and transformed into flesh eaters and blood drinking creatures, a group of hunters led by Tao chases the vampire zombies to eliminate them. Six non-infected survivors try to find the exit of an abandoned hospital crowded with the infected creatures, and Tao and his group help them. Meanwhile, the military command is ready to bomb the area and wipe it from the map.

The scene you're after is below. After one of the 'vampires' chases a character, he then tells her this in a warped voice through a broken window in the door, triggering a shocked reaction:

What's the point of running anymore? Open the door. This nightmare can stop. Right here, right now. One of us is going to get you. Think! You've already given in. Us? We think. We talk. We plan. Come closer. I'll tell you a secret. Come closer. We've evolved. You people are just cattle to us.

Here's the scene (the sound is a bit out of sync):

I think it could be a movie called Zombi 3.

http://zombie.wikia.com/wiki/Intelligent_Zombies - (In the Italian horror film Zombi 3, people infected with the zombie virus posses the ability to speak and retain some of their old personality, but they become psychotic and crave human flesh)

"28 weeks later"?

It came out in '07, and stared Rose Byrne (a woman with long brown hair)

I don't remember if the zombies spoke, but they definitely ran; and I think they showed some ability to think/solve problems.

I think the one you are searching for is, The Legend. Will Smith is the main protagonist, and the whole city has been affected by virus. He lives with a dog named Sam, and each day he goes outside in search of any survivors and when night comes he stays hidden inside his house quietly: as the zombies or whatever they are, are active on nighttime. And apparently, by luck he catches one of them on one day and conduct an experiment on it to it back to life. In the climax scene, the zombies invade his house and one of them speaks to Will by asking to give her back.