diff --git a/classes/comparator.js b/classes/comparator.js
index 647c1f09..545c46f0 100644
--- a/classes/comparator.js
+++ b/classes/comparator.js
@@ -81,15 +81,9 @@ class Comparator {
       throw new TypeError('a Comparator is required')
     }
 
-    if (this.operator === '') {
-      if (this.value === '') {
-        return true
-      }
+    if (this.operator === '' && this.value !== '') {
       return new Range(comp.value, options).test(this.value)
-    } else if (comp.operator === '') {
-      if (comp.value === '') {
-        return true
-      }
+    } else if (comp.operator === '' && comp.value !== '') {
       return new Range(this.value, options).test(comp.semver)
     }
 
@@ -105,6 +99,11 @@ class Comparator {
       return false
     }
 
+    // A wildcard intersects every non-empty range.
+    if (this.value === '' || comp.value === '') {
+      return true
+    }
+
     // Same direction increasing (> or >=)
     if (this.operator.startsWith('>') && comp.operator.startsWith('>')) {
       return true
diff --git a/test/fixtures/comparator-intersection.js b/test/fixtures/comparator-intersection.js
index 08c4bc08..760fbb68 100644
--- a/test/fixtures/comparator-intersection.js
+++ b/test/fixtures/comparator-intersection.js
@@ -32,6 +32,17 @@ module.exports = [
   ['>1.0.0', '<=2.0.0', true],
   ['<=2.0.0', '>1.0.0', true],
   ['<=1.0.0', '>=2.0.0', false],
+  // Empty ranges cannot intersect the wildcard, in either argument order.
+  ['', '<0.0.0', false],
+  ['', '<0.0.0-0', false],
+  ['', '<0.0.0-0', false, true],
+  ['', '<0.0.0', true, true],
+  ['', '<=0.0.0', true],
+  ['', '<0.0.1', true],
+  ['', '<0.0.0-alpha', false],
+  ['', '<0.0.0-alpha', true, true],
+  ['', '0.0.0-alpha', false],
+  ['', '0.0.0-alpha', true, true],
   ['', '', true],
   ['', '>1.0.0', true],
   ['<=2.0.0', '', true],
diff --git a/test/fixtures/range-intersection.js b/test/fixtures/range-intersection.js
index 217bee22..51bdf8ef 100644
--- a/test/fixtures/range-intersection.js
+++ b/test/fixtures/range-intersection.js
@@ -56,6 +56,11 @@ module.exports = [
   ['x', '1.3.0 || <1.0.0 >2.0.0', true],
   ['1.3.0 || <1.0.0 >2.0.0', 'x', true],
   ['1.x', '1.3.0 || <1.0.0 >2.0.0', true],
+  ['*', '>*', false],
+  ['*', '<*', false],
+  ['*', '<0.0.0', false],
+  ['*', '<0.0.0-0', false],
+  ['*', '<0.0.0-0 || 1.x', true],
   ['*', '*', true],
   ['x', '', true],
 ]