Thank you for your ideas, I leave the correct code to plot trajectories of any 
object, in my case I have drawn the trajectories of convective storms.

  1.  # --- Construimos el mapa ---
  2.
  3.  import numpy as np
  4.  from mpl_toolkits.basemap import Basemap
  5.  import matplotlib.pyplot as plt
  6.  from PIL import *
  7.  fig = plt.figure(figsize=(12,12))
  8.
  9.  ax = fig.add_axes([0.1,0.1,0.8,0.8])
  10.
  11. m = Basemap(projection='cyl', llcrnrlat=12, urcrnrlat=35,llcrnrlon=-120, 
urcrnrlon=-80, resolution='c', area_thresh=1000.)
  12.
  13. m.bluemarble()
  14. m.drawcoastlines(linewidth=0.5)
  15. m.drawcountries(linewidth=0.5)
  16. m.drawstates(linewidth=0.5)
  17.
  18. # --- Dibujamos paralelos y meridianos ---
  19.
  20. m.drawparallels(np.arange(10.,35.,5.),labels=[1,0,0,1])
  21. m.drawmeridians(np.arange(-120.,-80.,5.),labels=[1,0,0,1])
  22. m.drawmapboundary(fill_color='aqua')
  23.
  24. # --- Abrimos el archivo que contiene los datos ---
  25.
  26. import pandas as pd
  27.
  28. df = pd.read_csv('scm-2004.csv')
  29. for evento, group in df.groupby(['evento']):
  30.     latitude = group.lat.values
  31.     longitude = group.lon.values
  32.     x,y = m(longitude, latitude)
  33.     plt.plot(x,y,'y-',linewidth=2 )
  34.     plt.xlabel('Longitud')
  35.     plt.ylabel('Latitud')
  36.     plt.title('Trayectorias de Sistemas Convectivos 2004')
  37.
  38.
  39.
  40. plt.savefig('track-2004.jpg', dpi=100)

With the above code, I get the desired figure. 60 paths drawn on the map of 
México.

I have only one last question: how could indicate the start of each of the 
storms, someone has an idea how I can do this?

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