diff --git a/src/Period.php b/src/Period.php
index ac358058..10fae4f6 100644
--- a/src/Period.php
+++ b/src/Period.php
@@ -143,7 +143,12 @@ public static function __set_state(array $period)
      */
     public static function createFromDay($day)
     {
-        $startDate = static::filterDatePoint($day)->setTime(0, 0, 0);
+        $startDate = static::filterDatePoint($day);
+        $startDate = $startDate->createFromFormat(
+            static::DATE_LOCALE,
+            $startDate->format('Y-m-d').' 00:00:00.000000',
+            $startDate->getTimeZone()
+        );
 
         return new static($startDate, $startDate->add(new DateInterval('P1D')));
     }
@@ -821,14 +826,21 @@ public function split($interval)
      */
     public function intersect(Period $period)
     {
-        if ($this->abuts($period)) {
-            throw new LogicException('Both object should not abuts');
+        if (! $this->overlaps($period)) {
+            throw new LogicException('Both Period objects must overlaps');
         }
 
-        return new static(
-            ($period->getStartDate() > $this->startDate) ? $period->getStartDate() : $this->startDate,
-            ($period->getEndDate() < $this->endDate) ? $period->getEndDate() : $this->endDate
-        );
+        $startDate = $period->getStartDate();
+        if ($startDate < $this->startDate) {
+            $startDate = $this->startDate;
+        }
+
+        $endDate = $period->getEndDate();
+        if ($endDate > $this->endDate) {
+            $endDate = $this->endDate;
+        }
+
+        return new static($startDate, $endDate);
     }
 
     /**
diff --git a/test/PeriodTest.php b/test/PeriodTest.php
index 327ff703..cc671287 100644
--- a/test/PeriodTest.php
+++ b/test/PeriodTest.php
@@ -10,6 +10,20 @@
 use League\Period\Period;
 use PHPUnit_Framework_TestCase as TestCase;
 
+class ExtendedDate extends DateTimeImmutable
+{
+    public static function createFromFormat($format, $time, $timezone = null)
+    {
+        if (!is_object($timezone) || !$timezone instanceof DateTimeZone) {
+            $timezone = date_default_timezone_get();
+        }
+
+        $datetime = parent::createFromFormat($format, $time, $timezone);
+
+        return new self($datetime->format('Y-m-d H:i:s.u'), $timezone);
+    }
+}
+
 class PeriodTest extends TestCase
 {
     private $timezone;
@@ -394,6 +408,21 @@ public function testCreateFromDay()
         $this->assertEquals($period->getEndDate(), new DateTimeImmutable('2015-01-04'));
     }
 
+    public function testCreateFromDayPreserveTimezone()
+    {
+        $period = Period::createFromDay('2008-07-01T22:35:17+08:00');
+        $this->assertEquals('+08:00', $period->getStartDate()->format('P'));
+        $this->assertEquals('+08:00', $period->getEndDate()->format('P'));
+    }
+
+    public function testCreateFromDayPreserveInstance()
+    {
+        $today = new ExtendedDate('NOW');
+        $period = Period::createFromDay($today);
+        $this->assertInstanceof(ExtendedDate::class, $period->getStartDate());
+        $this->assertInstanceof(ExtendedDate::class, $period->getEndDate());
+    }
+
     public function testIsBeforeDatetime()
     {
         $orig = Period::createFromDuration('2012-01-01', '1 MONTH');