Here the problem is you want to show the passed dates but make them disabled.

      jQuery(document).ready(function() {
      $('#sandbox-container').datepicker({
format: "dd/mm/yyyy",
clearBtn: true,
minDate: 0,
maxDate: "+1M +10D",
daysOfWeekDisabled: "0,6"
});
});

What i've done with code is by using maxDate it will promt user to fill next 1month and 10day but using daysOfWeeekDisabled its keeping disabled the days passed.

And your html code will be like

<script src="https://ajax.googleapis.com/ajax/libs/jquery/1.9.1/jquery.min.js"/></script>
<link rel="stylesheet" ref="https://ajax.googleapis.com/ajax/libs/jqueryui/1.11.3/themes/smoothness/jquery-ui.css" />
< script src="https://ajax.googleapis.com/ajax/libs/jqueryui/1.11.3/jquery-ui.min.js"></script>

Date :

<input id="sandbox-container" type="text">