How to create a "shiny" effect like this using CSS gradients?

Question

Is it possible to create the following using CSS only?

I have created the container and the rounded corners. Fiddle here.

But I don't know how to get the slight shiny effect. Is it possible to do this in CSS? If so how?

Below is the code I have written so far.

HTML

<div id="phone-outer">
    <div id="phone-inner">

    </div>
</div>

CSS

#phone-outer {
    margin-bottom:200px;
    margin:0 auto;  
    width:400px;
    height:500px;
    background-color:#333;
    -webkit-border-bottom-right-radius:25px;
    -webkit-border-bottom-left-radius:25px;
    -moz-border-radius-bottomright:25px;
    -moz-border-radius-bottomleft:25px;
    border-bottom-right-radius:25px;
    border-bottom-left-radius:25px;
}

#phone-inner {
    margin:0 auto;
    background-color:#FFF;
    width:360px;
    height:460px;   
}

Answer 1

Close enough I hope:

http://jsfiddle.net/UxSdU/13/

#phone-outer {    
    border: 1px solid #FFFFFF;
    border-bottom-left-radius: 25px;
    border-bottom-right-radius: 25px;

    box-shadow: 0 3px 0.7px 1px #777777, 0 -7px rgba(0, 0, 0, 0.4) inset;

    height: 500px;
    width: 400px;
    margin: 0 auto;


    background-image: linear-gradient(right, #111 11%, #333 56%);
    background-image: -o-linear-gradient(right, #111 11%, #333 56%);
    background-image: -moz-linear-gradient(right, #111 11%, #333 56%);
    background-image: -webkit-linear-gradient(right, #111 11%, #333 56%);
    background-image: -ms-linear-gradient(right, #111 11%, #333 56%);
    background-image: gradient(right, #111 11%, #333 56%);
}