.img-wrap {
position: relative;
display: inline-block;
}
.img-wrap .close {
position: absolute;
top: 2px;
right: 2px;
z-index: 5;
transition: opacity 0.15s ease-in;
padding: 5px 2px 2px;
color: #000;
font-weight: bold;
cursor: pointer;
opacity: 0;
text-align: center;
font-size: 22px;
line-height: 10px;
border-radius: 50%;
}
.img-wrap:hover .close {
z-index: 10;
background-color: rgb(5 0 0 / 75%);
opacity: 1;
}
<div class="img-wrap">
<a href="" class="close float-right red rounded-lg p-2 mr-2 mt-2" title="DELETE"><i class="fas fa-trash-alt fa-lg text-white"></i></a>
<div class="media">
<i class="fal fa-file fa-4x icon-pdf d-flex mr-3"></i>
<div class="media-body">
<h6 class="mt-0 mb-0 grey-text font-weight-bold">This is an existing File</h6>
<div><small><b class="mr-2">File Name</b>
<a href="" target="_blank">${filename}</a>
</small>
</div>
</div>
</div>
</div>
If i understand your problem you can use a div (i called it layer) absolute positioned above the card and show it when you hover the card.
.img-wrap {
position: relative;
display: inline-block;
width:200px;/* not important */
height:200px;/* not important */
background:#aeaeae;/* not important */
}
.img-wrap .close {
position: absolute;
top: 2px;
right: 2px;
z-index: 5;
transition: opacity 0.15s ease-in;
padding: 5px 2px 2px;
color: #000;
font-weight: bold;
cursor: pointer;
opacity: 0;
text-align: center;
font-size: 22px;
line-height: 10px;
border-radius: 50%;
}
.img-wrap:hover .close {
z-index: 10;
background-color: rgb(5 0 0 / 75%);
opacity: 1;
}
/* add this */
.layer{
position:absolute;
top:0;
left:0;
width:100%;
height:100%;
z-index:2;
background:rgba(255,255,255,0.9);
display:none;
}
.img-wrap:hover .layer{
display:block;
}
<div class="img-wrap">
<a href="" class="close float-right red rounded-lg p-2 mr-2 mt-2" title="DELETE"><i class="fas fa-trash-alt fa-lg text-white"> x </i></a>
<div class="layer"> </div>
<div class="media">
<i class="fal fa-file fa-4x icon-pdf d-flex mr-3"></i>
<div class="media-body">
<h6 class="mt-0 mb-0 grey-text font-weight-bold">This is an existing File</h6>
<div><small><b class="mr-2">File Name</b>
<a href="" target="_blank">${filename}</a>
</small>
</div>
</div>
</div>
</div>