Hi,
I downloaded "Eagle Footprint" of nokia lcd connector Eagle library to make a pcb with it for my Arduino project.
The problem is that I'm also new to Eagle and can't connect the wire in Schematic to extend the connectors pins and you can see the problem in the image. Eagle forces a defined gap between wires and I don't know where the setting is.
Could anybody please tell me how I can tune Eagle so that to directly connect wire to the connector pins please?
solution 1: start the trace by click on the pad.
solution 2: Hold the ALT key - this gets you a finer grid.
solution 3: See that little icon with the grid of dots, just under the file folder icon? click that to check/change the grid size to one that's compatible with your part.
-j
Thank you, the third solution solved the problem 
One more question:
As you see in the image, I have the pins in red color, how can I delete the "gray" lines? As this is a library component, I can't edit it, it behaves like a whole. Is there any way to degroup it, or in another way to edit it please?
The gray lines represent the physical footprint of the connector. Why do you want to delete them?
With this one you see on the image, I have not special problem. On the real board I am going to use MSOP10 standard which is for another device, but I'll use it for this connector, so the shape is not really the one my connector is about. I need to know how to adjust/delete it. Is there any way for adjusting it please?