diff --git a/kernel/include/memory.hpp b/kernel/include/memory.hpp
index a01acd66..ba6b8651 100644
--- a/kernel/include/memory.hpp
+++ b/kernel/include/memory.hpp
@@ -15,6 +15,14 @@ void init_memory_manager();
 void* k_malloc(uint64_t bytes);
 void k_free(void* block);
 
+/*!
+ * \brief Allocates bytes of memory at the given address.
+ * \param address The virtual address where memory should be put.
+ * \param bytes The number of bytes to allocate.
+ * \return The address of the physical allocated memory, 0 indicates failure.
+ */
+void* k_malloc(uint64_t address, uint64_t bytes);
+
 template<typename T>
 T* k_malloc(){
     return reinterpret_cast<T*>(k_malloc(sizeof(T)));
diff --git a/kernel/include/paging.hpp b/kernel/include/paging.hpp
index 04f65f9b..f3f76cd4 100644
--- a/kernel/include/paging.hpp
+++ b/kernel/include/paging.hpp
@@ -19,12 +19,21 @@ constexpr bool page_aligned(T* addr){
     return !(reinterpret_cast<uintptr_t>(addr) & (paging::PAGE_SIZE - 1));
 }
 
+template<typename T>
+constexpr T* page_align(T* addr){
+    return reinterpret_cast<T*>((reinterpret_cast<uintptr_t>(addr) / paging::PAGE_SIZE) * paging::PAGE_SIZE);
+}
+
 void* physical_address(void* virt);
 bool page_present(void* virt);
 bool page_free_or_set(void* virt, void* physical);
+
 bool identity_map(void* virt);
 bool identity_map(void* virt, size_t pages);
 
+bool map(void* virt, void* physical);
+bool map(void* virt, void* physical, size_t pages);
+
 } //end of namespace paging
 
 #endif
diff --git a/kernel/src/memory.cpp b/kernel/src/memory.cpp
index 46be12b9..5dd7f610 100644
--- a/kernel/src/memory.cpp
+++ b/kernel/src/memory.cpp
@@ -302,6 +302,34 @@ void* k_malloc(uint64_t bytes){
     return b;
 }
 
+void* k_malloc(uint64_t address, uint64_t bytes){
+    auto page = reinterpret_cast<uintptr_t>(paging::page_align(reinterpret_cast<void*>(address)));
+
+    //1. Verify that all the necessary pages are free
+    while(page < address + bytes){
+        //If the virtual address is already mapped, indicates failure
+        if(paging::page_present(reinterpret_cast<void*>(page))){
+            return nullptr;
+        }
+
+        page += paging::PAGE_SIZE;
+    }
+
+    //2. Allocate enough physical memory
+    auto physical = k_malloc(bytes);
+
+    //3. Map physical allocated memory to the necessary virtual emory
+
+    auto left_padding = page % paging::PAGE_SIZE;
+    auto pages = ((bytes + left_padding) / paging::PAGE_SIZE) + 1;
+
+    if(!paging::map(paging::page_align(reinterpret_cast<void*>(address)), physical, pages)){
+        return nullptr;
+    }
+
+    return physical;
+}
+
 malloc_header_chunk* left_block(malloc_header_chunk* b){
     auto left_footer = reinterpret_cast<malloc_footer_chunk*>(
         reinterpret_cast<uintptr_t>(b) - sizeof(malloc_footer_chunk));
diff --git a/kernel/src/paging.cpp b/kernel/src/paging.cpp
index fedcd167..a896abfa 100644
--- a/kernel/src/paging.cpp
+++ b/kernel/src/paging.cpp
@@ -98,13 +98,13 @@ bool paging::page_free_or_set(void* virt, void* physical){
     return false;
 }
 
-bool paging::identity_map(void* virt){
+bool paging::map(void* virt, void* physical){
     //The address must be page-aligned
     if(!page_aligned(virt)){
         return false;
     }
 
-    //Find the correct indexes inside the paging table for the physical address
+    //Find the correct indexes inside the paging table for the virtual address
     auto table = (reinterpret_cast<uintptr_t>(virt) >> 12) & 0x1FF;
     auto directory = (reinterpret_cast<uintptr_t>(virt) >> 21) & 0x1FF;
     auto directory_ptr = (reinterpret_cast<uintptr_t>(virt) >> 30) & 0x1FF;
@@ -137,16 +137,16 @@ bool paging::identity_map(void* virt){
     if(reinterpret_cast<uintptr_t>(pt[table]) & PRESENT){
         //If the page is already set to the correct value, return true
         //If the page is set to another value, return false
-        return reinterpret_cast<uintptr_t>(pt[table]) == (reinterpret_cast<uintptr_t>(virt) | (PRESENT | WRITEABLE));
+        return reinterpret_cast<uintptr_t>(pt[table]) == (reinterpret_cast<uintptr_t>(physical) | (PRESENT | WRITEABLE));
     }
 
-    //Identity map  the physical address
-    pt[table] = reinterpret_cast<page_entry>(reinterpret_cast<uintptr_t>(virt) | (PRESENT | WRITEABLE));
+    //Map to the physical address
+    pt[table] = reinterpret_cast<page_entry>(reinterpret_cast<uintptr_t>(physical) | (PRESENT | WRITEABLE));
 
     return true;
 }
 
-bool paging::identity_map(void* virt, size_t pages){
+bool paging::map(void* virt, void* physical, size_t pages){
     //The address must be page-aligned
     if(!page_aligned(virt)){
         return false;
@@ -155,18 +155,31 @@ bool paging::identity_map(void* virt, size_t pages){
     //To avoid mapping only a subset of the pages
     //check if one of the page is already mapped to another value
     for(size_t page = 0; page < pages; ++page){
-        auto addr = reinterpret_cast<void*>(reinterpret_cast<uintptr_t>(virt) + page * PAGE_SIZE);
-        if(!page_free_or_set(addr, addr)){
+        auto virt_addr = reinterpret_cast<void*>(reinterpret_cast<uintptr_t>(virt) + page * PAGE_SIZE);
+        auto phys_addr = reinterpret_cast<void*>(reinterpret_cast<uintptr_t>(physical) + page * PAGE_SIZE);
+
+        if(!page_free_or_set(virt_addr, phys_addr)){
             return false;
         }
     }
 
     //Identity map each page
     for(size_t page = 0; page < pages; ++page){
-        if(!identity_map(reinterpret_cast<void*>(reinterpret_cast<uintptr_t>(virt) + page * PAGE_SIZE))){
+        auto virt_addr = reinterpret_cast<void*>(reinterpret_cast<uintptr_t>(virt) + page * PAGE_SIZE);
+        auto phys_addr = reinterpret_cast<void*>(reinterpret_cast<uintptr_t>(physical) + page * PAGE_SIZE);
+
+        if(!map(virt_addr, phys_addr)){
             return false;
         }
     }
 
     return true;
 }
+
+bool paging::identity_map(void* virt){
+    return map(virt, virt);
+}
+
+bool paging::identity_map(void* virt, size_t pages){
+    return map(virt, virt, pages);
+}