diff --git a/Lib/_pyio.py b/Lib/_pyio.py
index a9ff985..ffbfda1 100644
--- a/Lib/_pyio.py
+++ b/Lib/_pyio.py
@@ -325,6 +325,7 @@
 
         This is not implemented for read-only and non-blocking streams.
         """
+        self._checkClosed()
         # XXX Should this return the number of bytes written???
 
     __closed = False
@@ -335,10 +336,7 @@
         This method has no effect if the file is already closed.
         """
         if not self.__closed:
-            try:
-                self.flush()
-            except IOError:
-                pass  # If flush() fails, just give up
+            self.flush()
             self.__closed = True
 
     def __del__(self) -> None:
@@ -705,14 +703,13 @@
     ### Flush and close ###
 
     def flush(self):
+        if self.closed:
+            raise ValueError("flush of closed file")
         self.raw.flush()
 
     def close(self):
-        if not self.closed and self.raw is not None:
-            try:
-                self.flush()
-            except IOError:
-                pass  # If flush() fails, just give up
+        if self.raw is not None and not self.closed:
+            self.flush()
             self.raw.close()
 
     def detach(self):
@@ -1514,11 +1511,8 @@
         self._telling = self._seekable
 
     def close(self):
-        if self.buffer is not None:
-            try:
-                self.flush()
-            except IOError:
-                pass  # If flush() fails, just give up
+        if self.buffer is not None and not self.closed:
+            self.flush()
             self.buffer.close()
 
     @property
diff --git a/Lib/test/test_io.py b/Lib/test/test_io.py
index 71362f0..f6175c8 100644
--- a/Lib/test/test_io.py
+++ b/Lib/test/test_io.py
@@ -535,6 +535,20 @@
         with self.open(zero, "r") as f:
             self.assertRaises(OverflowError, f.read)
 
+    def test_flush_error_on_close(self):
+        f = self.open(support.TESTFN, "wb", buffering=0)
+        def bad_flush():
+            raise IOError()
+        f.flush = bad_flush
+        self.assertRaises(IOError, f.close) # exception not swallowed
+
+    def test_multi_close(self):
+        f = self.open(support.TESTFN, "wb", buffering=0)
+        f.close()
+        f.close()
+        f.close()
+        self.assertRaises(ValueError, f.flush)
+
 class CIOTest(IOTest):
     pass
 
@@ -634,6 +648,22 @@
         raw.name = b"dummy"
         self.assertEqual(repr(b), "<%s name=b'dummy'>" % clsname)
 
+    def test_flush_error_on_close(self):
+        raw = self.MockRawIO()
+        def bad_flush():
+            raise IOError()
+        raw.flush = bad_flush
+        b = self.tp(raw)
+        self.assertRaises(IOError, b.close) # exception not swallowed
+
+    def test_multi_close(self):
+        raw = self.MockRawIO()
+        b = self.tp(raw)
+        b.close()
+        b.close()
+        b.close()
+        self.assertRaises(ValueError, b.flush)
+
 
 class BufferedReaderTest(unittest.TestCase, CommonBufferedTests):
     read_mode = "rb"
@@ -2114,6 +2144,20 @@
             for n in range(20):
                 self.assertEquals(content.count("Thread%03d\n" % n), 1)
 
+    def test_flush_error_on_close(self):
+        txt = self.TextIOWrapper(self.BytesIO(self.testdata), encoding="ascii")
+        def bad_flush():
+            raise IOError()
+        txt.flush = bad_flush
+        self.assertRaises(IOError, txt.close) # exception not swallowed
+
+    def test_multi_close(self):
+        txt = self.TextIOWrapper(self.BytesIO(self.testdata), encoding="ascii")
+        txt.close()
+        txt.close()
+        txt.close()
+        self.assertRaises(ValueError, txt.flush)
+
 class CTextIOWrapperTest(TextIOWrapperTest):
 
     def test_initialization(self):
diff --git a/Misc/NEWS b/Misc/NEWS
index 3e4f33c..b82ce91 100644
--- a/Misc/NEWS
+++ b/Misc/NEWS
@@ -40,6 +40,10 @@
 Library
 -------
 
+- Issue #7865: The close() method of :mod:`io` objects should not swallow
+  exceptions raised by the implicit flush().  Also ensure that calling
+  close() several times is supported.  Patch by Pascal Chambon.
+
 - Issue #4687: Fix accuracy of garbage collection runtimes displayed with
   gc.DEBUG_STATS.
 
diff --git a/Modules/_io/bufferedio.c b/Modules/_io/bufferedio.c
index 7f1bdb0..b21ea71 100644
--- a/Modules/_io/bufferedio.c
+++ b/Modules/_io/bufferedio.c
@@ -438,11 +438,7 @@
     res = PyObject_CallMethodObjArgs((PyObject *)self, _PyIO_str_flush, NULL);
     ENTER_BUFFERED(self)
     if (res == NULL) {
-        /* If flush() fails, just give up */
-        if (PyErr_ExceptionMatches(PyExc_IOError))
-            PyErr_Clear();
-        else
-            goto end;
+        goto end;
     }
     Py_XDECREF(res);
 
diff --git a/Modules/_io/bytesio.c b/Modules/_io/bytesio.c
index 686e20a..b93e325 100644
--- a/Modules/_io/bytesio.c
+++ b/Modules/_io/bytesio.c
@@ -169,6 +169,7 @@
 static PyObject *
 bytesio_flush(bytesio *self)
 {
+    CHECK_CLOSED(self);
     Py_RETURN_NONE;
 }
 
diff --git a/Modules/_io/iobase.c b/Modules/_io/iobase.c
index 271a41e..2d664ab 100644
--- a/Modules/_io/iobase.c
+++ b/Modules/_io/iobase.c
@@ -183,11 +183,7 @@
     res = PyObject_CallMethodObjArgs(self, _PyIO_str_flush, NULL);
     PyObject_SetAttrString(self, "__IOBase_closed", Py_True);
     if (res == NULL) {
-        /* If flush() fails, just give up */
-        if (PyErr_ExceptionMatches(PyExc_IOError))
-            PyErr_Clear();
-        else
-            return NULL;
+        return NULL;
     }
     Py_XDECREF(res);
     Py_RETURN_NONE;
diff --git a/Modules/_io/textio.c b/Modules/_io/textio.c
index 89d922c..b039c2f 100644
--- a/Modules/_io/textio.c
+++ b/Modules/_io/textio.c
@@ -2398,16 +2398,30 @@
 textiowrapper_close(textio *self, PyObject *args)
 {
     PyObject *res;
+    int r;
     CHECK_INITIALIZED(self);
-    res = PyObject_CallMethod((PyObject *)self, "flush", NULL);
-    if (res == NULL) {
-        /* If flush() fails, just give up */
-        PyErr_Clear();
-    }
-    else
-        Py_DECREF(res);
 
-    return PyObject_CallMethod(self->buffer, "close", NULL);
+    res = textiowrapper_closed_get(self, NULL);
+    if (res == NULL)
+        return NULL;
+    r = PyObject_IsTrue(res);
+    Py_DECREF(res);
+    if (r < 0)
+        return NULL;
+    
+    if (r > 0) {
+        Py_RETURN_NONE; /* stream already closed */
+    }
+    else {
+        res = PyObject_CallMethod((PyObject *)self, "flush", NULL);
+        if (res == NULL) {
+            return NULL;
+        }
+        else
+            Py_DECREF(res);
+
+        return PyObject_CallMethod(self->buffer, "close", NULL);
+    }
 }
 
 static PyObject *