#delete objects that are intersecting
def delInter():
    #check every object for intersection with every other object
    for obj_now in obj_list:
        for obj_next in obj_list:
            print()
            if obj_now == obj_next:
                continue

            #create bmesh objects
            bm1 = bmesh.new()
            bm2 = bmesh.new()

            #fill bmesh data from objects
            bm1.from_mesh(scene.objects[obj_now].data)
            bm2.from_mesh(scene.objects[obj_next].data)

            #fixed it here:
            bm1.transform(scene.objects[obj_now].matrix_world)
            bm2.transform(scene.objects[obj_next].matrix_world)

            #make BVH tree from BMesh of objects
            obj_now_BVHtree = BVHTree.FromBMesh(bm1)
            obj_next_BVHtree = BVHTree.FromBMesh(bm2)

            #get intersecting pairs
            inter = obj_now_BVHtree.overlap(obj_next_BVHtree)

            #if list is empty, no objects are touching
            if inter != []:
                print(obj_now + " and " + obj_next + " are touching!")
            else:
                print(obj_now + " and " + obj_next + " NOT touching!")

bm1.transform(scene.objects[obj_now].matrix_world)
        bm2.transform(scene.objects[obj_next].matrix_world)

import bpy  #addbpy   <<ADD
import bmesh #addbmesh   <<ADD
import mathutils   #add mathutils  <<ADD

# get the current meshes   <<ADD
obj_list = bpy.data.meshes

# get the current scene  <ADD
scn = bpy.context.scene

# Define the BVH Tree  <ADD
BVHTree = mathutils.bvhtree.BVHTree


#Print objects that are intersecting
def delInter():
#check every object for intersection with every other object
  for obj_now in obj_list:
    for obj_next in obj_list:
    print()
     if obj_now == obj_next:
       continue

      #create bmesh objects
      bm1 = bmesh.new()
      bm2 = bmesh.new()

      #fill bmesh data from objects
      bm1.from_mesh(scn.objects[obj_now.name].data)   #<<  Add .name on both
      lines.
      bm2.from_mesh(scn.objects[obj_next.name].data)  #<<  Add .name on both
      lines.

      #fixed it here:
      bm1.transform(scn.objects[obj_now.name].matrix_world)   #<<  Add .name
      on both lines.
      bm2.transform(scn.objects[obj_next.name].matrix_world)  #<<  Add .name
      on both lines.

      #make BVH tree from BMesh of objects
      obj_now_BVHtree = BVHTree.FromBMesh(bm1)
      obj_next_BVHtree = BVHTree.FromBMesh(bm2)

      #get intersecting pairs
      inter = obj_now_BVHtree.overlap(obj_next_BVHtree)

      #if list is empty, no objects are touching
      if inter != []:
       print(obj_now.name + " and " + obj_next.name + " are touching!")   #
       <<  Add .name on both lines.
        else:
          print(obj_now.name + " and " + obj_next.name + " NOT touching!")
          #<<  Add .name on both lines.


  delInter()  #Call FN

import bpy, bmesh
from mathutils.bvhtree import BVHTree

list_of_obj = [ o for o in bpy.context.scene.objects]
the_object = list_of_obj[0]
the_other_object = list_of_obj[1]

BMESH_1 = bmesh.new()
BMESH_1.from_mesh(bpy.context.scene.objects[the_object.name].data)
BMESH_1.transform(the_object.matrix_world)
BVHtree_1 = BVHTree.FromBMesh(BMESH_1)


BMESH_2 = bmesh.new()
BMESH_2.from_mesh(bpy.context.scene.objects[the_other_object.name].data)
BMESH_2.transform(the_other_object.matrix_world)
BVHtree_2 = BVHTree.FromBMesh(BMESH_2)

inter = BVHtree_1.overlap(BVHtree_2)

print(inter)