So I have this 'floating-card' which has a box-shadow around it. On one side I want to put a colored border. But the box-shadow gives an extra white border. I want this removed but I dont know how. I want to keep the box-shadow. I tried several things including the answer of this question.
CSS Box-Shadow adds arbitrary white border to Div
To show specifically what I want removed:

The little small white border on the left of the blue.
Here is a JSFiddle and the code:
https://jsfiddle.net/pg5omtqq/
.floating-card {
background-color: white;
border-left: 5px solid blue;
box-shadow: 0px 0px 10px grey;
margin: 1.0em;
padding-top: 5px;
padding-bottom: 10px;
padding-left: 25px;
padding-right: 25px;
}
<div class="floating-card">
<h3 class="tile_title">Title</h3>
</div>
EDIT: To be clear, I want to keep the box-shadow. But have the small white border removed.